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52 - 11 =41 left

David 30

Mpho 11

(Mpho has 19 fewer than David)

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Let's denote the number of sweets Mpho had initially as \( M \) and the number of sweets David had initially as \( D \).

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Let's denote the number of sweets Mpho had initially as \( M \) and the number of sweets David had initially as \( D \).

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According to the problem:

1. Mpho and David had a total of 52 sweets initially:

\[ M + D = 52 \]

2. If Mpho ate 11 sweets and gave 5 sweets to David, he would have 19 fewer sweets than David:

\[ (M - 11) + 5 = D - 19 \]

Now, we can solve these equations to find the value of \( D \), which represents the number of sweets David had initially.

From the first equation, we can express \( M \) in terms of \( D \):

\[ M = 52 - D \]

Substituting this expression for \( M \) into the second equation:

\[ (52 - D - 11) + 5 = D - 19 \]

\[ 52 - D - 11 + 5 = D - 19 \]

\[ 52 - 11 - D + 5 = D - 19 \]

\[ 46 - D = D - 19 \]

Now, let's isolate \( D \):

\[ 46 + 19 = D + D \]

\[ 65 = 2D \]

\[ D = \frac{65}{2} \]

\[ D = 32.5 \]

Since the number of sweets must be a whole number, we realize that David cannot have half a sweet. This implies there might be an error in the problem's formulation or my interpretation of it. Would you like me to reconsider the problem, or do you have any specific preferences?

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Let's denote the number of sweets Mpho had initially as \( M \) and the number of sweets David had initially as \( D \).

# data[].attributes.subject
Let's denote the number of sweets Mpho had initially as \( M \) and the number of sweets David had initially as \( D \).

# data[].attributes.body
According to the problem:

1. Mpho and David had a total of 52 sweets initially:

\[ M + D = 52 \]

2. If Mpho ate 11 sweets and gave 5 sweets to David, he would have 19 fewer sweets than David:

\[ (M - 11) + 5 = D - 19 \]

Now, we can solve these equations to find the value of \( D \), which represents the number of sweets David had initially.

From the first equation, we can express \( M \) in terms of \( D \):

\[ M = 52 - D \]

Substituting this expression for \( M \) into the second equation:

\[ (52 - D - 11) + 5 = D - 19 \]

\[ 52 - D - 11 + 5 = D - 19 \]

\[ 52 - 11 - D + 5 = D - 19 \]

\[ 46 - D = D - 19 \]

Now, let's isolate \( D \):

\[ 46 + 19 = D + D \]

\[ 65 = 2D \]

\[ D = \frac{65}{2} \]

\[ D = 32.5 \]

Since the number of sweets must be a whole number, we realize that David cannot have half a sweet. This implies there might be an error in the problem's formulation or my interpretation of it. Would you like me to reconsider the problem, or do you have any specific preferences?

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Mpho + David=52 sweets

52-11= 41 left

Mpho 11 sweets David 30

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Total: 52 sweets. We don't know the amount of sweet each had, but the difference of 19 is a clue.

Total: 52 - Mpho ate 11 = 41 (New total)

19 difference:

11 to Mpho

30 to David

Minus the 5 Mpho gave David, he had 25 when this started and Mpho had 27

27-11-5 = 11 for Mpho

25 + 5 = 30 for David

27 + 25 = 52

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Mpho - 52 sweets - 11(ate) = 41

41 + 5( which he had, then given yo David) leaves Mpho with 46 sweets.

Mpho has 19 fewer than 46 leaving him with 27 sweets.

Therefore 52 - 27 = 25 sweets ( amount of sweets David had at the beginning)

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altogether they had 52 sweets:

Mpho - 26 - 11 (ate) = 15 - 5 given to David

David - 26 + 5 (from Mpho) = 31

David had 26 sweets initially he got 5 more from Mpho.

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Initially Mpho had 27 sweets and David had 25 sweets. After Mpho ate 11 sweets and gave 5 to David, he's left with 11 sweets and David has now 30 which satisfies the gap of 19 sweets between them after the said distribution.06

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Together Mpho and David had 52 sweets.

Mpho ate 11 sweets.

Now they have 41 sweets. ( 52 - 11 = 41 )

Mpho now has 19 less than David, so I subtract it from 41 which amount to 22 sweets. ( 41 - 19 = 22 )

I keep into account the fact that Mpho gave David 5 sweets, so I add it to the 22 which gave me 27 sweets. ( 22 + 5 = 27 )

If Mpho had 27 sweets, then David must have had 25 sweets. ( 52 - 27 = 25 )

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Two schools are competing for Athletics. First school has so many learners and second school has so many learners.

Calculate the sum of learners that are going to participate.

Calculate the difference between the number of learners from the 2 different schools.

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David and Mpho had 52 sweets. Mpho ate 11 sweets. From the 41 sweets left Mpho gave David 5 sweets living 36 sweets. Then they divided these 36 sweets into 2. then David got 14 sweets plus the 5 he was given by Mpho to make 19. David had 19 sweets,

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Mpho: 52 /2 -5 -11 = 10

David: 52/2 + 5 = 31

31 - 10 = 21 difference thus Mpho = 11 and David = 30 at the end (=19 sweets difference)

Mpho at the beginning: 11 + 11 + 5 = 27

David at the beginning: 30 - 5 = 25

25 + 27 = 52 sweets all together

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There’s no specific ratio given on how they would share the sweets but if we assume that they shared the sweets equally then David would have started with 26 sweets and his number increased to 31 after being given 5 by Mpho

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we don’t know how many sweets David have because it doesn’t specify the sharing ratio between them, if we assume that they are sharing equally then it would be 26

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Mpho and David had 52 sweets. It does not state the ration of sweets. If you assume that they had equal sweets, each would have 26 sweet. Mpho had 26 sweet, ate 11 sweet. 26 - 11 = 15 left. He then gave David another 5 sweets. So Mpho has 10 sweets left. David had 26 sweets plus the 5 sweets that Mpho gave him. He will have 26 + 5 = 31 sweets. That is 21 more than Mpho. The word problem is not suitable because it is not clearly stated. 

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Mpho and David had 52 sweets. It does not state the ration of sweets. If you assume that they had equal sweets, each would have 26 sweet. Mpho had 26 sweet, ate 11 sweet. 26 - 11 = 15 left. He then gave David another 5 sweets. So Mpho has 10 sweets left. David had 26 sweets plus the 5 sweets that Mpho gave him. He will have 26 + 5 = 31 sweets. That is 21 more than Mpho. The word problem is not suitable because it is not clearly stated. 

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Mpho and David has a combined amount of 52 sweets. Davids has an undisclosed amount and my assumption is that Mpho has more sweets that David because he eats some and gives some away.

So we calculate the unknown variable first.

David: 52 - 11 = 41

41 - 19 = 22

22 / 2 = 11

11 + 19 = 30

30 - 5 = 25 David has 25 sweets

Mpho: 52 - 25 = 27

Mpho started with 27 sweets.

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52 sweets - 11 sweets eaten by Mpho = 41swerts 

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52 sweets - 11 sweets eaten by Mpho = 41swerts 

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52sweets - 11sweets eaten by Mpho = 41sweets - 19 = 22 sweets

Therefore 11sweets +19 sweets = 30 sweets

52sweets - 30sweets = 22sweets

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1. Together Mpho and David has 52 sweet, this is divided equally between David and Mpho. Therefore Mpho will have 26 and David has 26.

2. Mpho has 26 sweets and he eats 11 of them and also gives 5 to David

26 - 11 = 15 - 5= 10

3. So Mpho is left with 10 sweets

4. David will now have his 26 sweets + the 5 Mpho gave him = 31 (Wrong)

5. If the sweets were not divide equally. we can says that Mpho got 27 and David got 25.

6. So 27 - 11 = 16 - 5 = 11

7. So Mpho has 11 sweets

8. but David will now have 25 sweets plus the 5 that Mpho gave him

9. so 25 + 5 = 30 sweets

10. Thus the difference is 30 - 11 = 19

11. So David had 25 sweets to begin with.

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Mpho and David have 52 sweets. 52 divided by 2 equals 26 sweets for each of them.

But this does not give 19 sweets.

It was evident that the sweets were not shared equally to begin with. I continued to give Mpho 27 sweets and david 25 sweets.

Mpho 27-11-5=11

David 25=5=30

And 30-11=19

So this meant that David had 25sweets to begin with.

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Mpho and Davids had a combined amount of 52 sweets. I assumed that Mpho had more sweets than David to start with as he ended with much less after eating some and giving some away.

David: 52 - 11 = 41

41 - 19 = 22

22 / 2 = 11

11 + 19 = 30 - 5 = 25 sweets

Mpho: 52 - 25 = 27 sweets

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We need to share 52 sweets between the 2 boys. If I do this equally each boy would have 26 sweets, this would mean:

Mpho: 26 - 11 - 5= 10

David: 26 + 5 = 31

31 - 10 = 21 (this does not give a difference of 19)

Therefore, I predicted that the sweets were not shared equally in the first place.

I then gave Mpho 27 sweets and David 25 sweets. This then meant:

Mpho: 27 -11 - 5= 11

David: 25 + 5 = 30

30 - 11 = 19

Therefore, David had started off with 25 sweets

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Mpho and David = 52 sweets

That means:52 divided by 2 = 26 sweets for each.

(I first tried giving them an equal amount: 26 and 26 But I did not get 19) so I did it again:

Then: Mpho (27- 11 - 5) = 11 sweets

Then: David (25 + 5) = 30 sweets

Comparison: 30 -11 = 19 fewer sweets than David

So, Mpho started with 27 sweets and David with 25 sweets in the beginning.

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First find the number of sweets David has and make Mpho's initial number an unknown variable:

x+5=52-x-11-5+19

x+5=55-x

2x=50

x=50/2=25

David has 25 sweets.

Therefore Mpho has 52-25 sweets:

52-25=27

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Divide 25 sweets equally between David and Mpho. Both of them had 26 sweets. Subtract the 11 and 5 sweets from Mpho. Mpho now having 10 sweets. Adding 5 sweets to David's 26 sweets. He had now 31 sweets. I then subtracted 31-10= 21 as a difference an not 19. I then give Mpho 27 sweets and David 25 sweets.

27 - 11 - 5 = 11 (Mpho)

25+5 = 30 (David)

30 - 11 = 19 sweets therefore David had 25 sweets and Mpho had 27 sweets in the beginning.

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Mpho 26 = David 26

Mpho: 26 - 11 = 15

15-15 = 10

David: 26 + 5 = 31

Difference is 20 [Incorrect]

Mpho: 27 - 11 = 16

16 - 5 = 11

David: 25 + 5 = 30

30 - 11 = 19

Therefore, David started with 25 sweets and Mpho started with 27 sweets.

I had done it this way as I think a solve for x method would be a bit too complex for a grade 6 level.

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I started off by dividing the sweets equally - 26 M and 26 D. I subtracted 11 from M's 26 as well as 5 from M's sweets. This resulted in M having 10 left. D gained 5 sweets and had a result of 31. The difference did not give me 19 so I realized this doesn't work.

I then tried D 25 and M 27. Did the same and ended up with a difference of 19 sweets.

Final answer: David had 25 sweets at the beginning.

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1. Divide 52 sweets between Mpho & David (52÷2=26)

2. Mpho's sweets after: 26-11-5=10

3. David's sweets after= 26+5=31

4. Difference: 31-10=21 ( this means they did not start off with the equal amount of sweets since Mpho should have 19 sweets fewer than David.

5. Giving Mpho 1 more and David 1 less. Mpho will then have 27 sweets and David 25 sweets.

6. Mpho's sweets after: 27-11-5=11

7. David's sweets after: 25+5=30

8. Difference: 30-11=19. This means that David had 25 sweets at the beginning.

The problem with this problem is:

1. For a learner this question is not clear enough, might be a bit confusing.

2. Lacks information and it is too advanced, most learners will divide the sweets by 2, or might assume that both Mpho and David have 52 sweets each.

3. This question does not suit the grade level.

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I tried the trial and error process since Grade 6 learners have no knowledge of algebra.

First I will divide the sweets equally between the 2 which will leave each one with 26 sweets.

I then worked with Mpho which will be 26 -11-5= 10 sweets

David will be 26 + 5 = 31.

I then subtracted 31 - 10 which gave me 21 as a difference an not 19.

I then gave Mpho 27 sweets and David 25 sweets.

27 - 11- 5 = 11 (Mpho)

25 + 5 = 30

30 - 11 = 19 sweets therefore David had 25 sweets and Mpho 27.

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I did trial & error method, seeing that Gr6 do not have the knowledge yet to solve problems algebraically.

First divided the sweets equally between them (26 each), subtracted Mpho's 11 that was eaten and then the 5 that he gave David, which left him with 10 sweets. David would then have 26 + 5 = 31 sweets. Difference between 31 and 10 is 21.

I then opted for Mpho=27 sweets and David 25 (which makes up the total of 52 sweets). Mpho: 27 - 11 - 5 = 11

David: 25 + 5 = 30

Difference = 19, therefore David had 25 sweets at the beginning.

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Divide the 52 sweets between M and D.

= 26 for M and 26 for D

26 26

-11 +5

- 5

=10 =31 which means the difference is 21

27 for M and 25 for D

27 25

-11 +5

-5

=11 30

= the difference is 19

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Mpho and David had 52 sweets:

Mpho : 27 - 11 - 5 = 11

David: 25 + 5 = 30

Difference: 19

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Mpho- 27- 11 - 5 = 11

David - 25 + 5 = 30

30 - 11 = 19

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1 b. They add 125 to the previous number everytime

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1 b. They add 125 to the previous number everytime

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I decided to solve it with a logical approach (as the children in my class would). I started by dividing the 52 sweets equally between them. However, after taking away the 11 sweets that Mpho ate and the 5 that she gave to Daniel, she has 10 left and David, having received 5 sweets, has 31 sweets. This means that David has 21 more than Mpho. I decided to give Mpho 27 at the beginning, followed the same pattern of thinking and Mpho ended with 11 sweets and David with 30, the difference being 19.

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I decided to divide the 52 sweets between Mpho and David and work towards finding which pair of numbers would deliver a difference of 19.

First

Mpho got 26 and David 26 and then I subtracted the 11 sweets Mpho ate and the 5 Mpho gave away which left Mpho with 10. I then added the 5 to David's 26. The difference between the number of sweets they had was 21.

not 19.

So...

I gave Mpho 25 and David 27 and then subtracted the 11 sweets Mpho ate and the 5 Mpho gave away which left Mpho with 11. I then added the 5 to David's 27. The difference between the number of sweet they had was 23.

not 19.

Since the difference was now higher it means in order for the difference to be lower Mpho had to get more than David and it had to be more than 26.

So finally

I gave Mpho 27 and gave David 25.

Subtracting the 11 and 5 from Mpho's 27 left 11 and adding 5 to David's 25 gave 30. The difference would now be 19.

Thus at the start Mpho must have had 27 and David 25

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'Mpho & David had 52 sweets.

52 sweets - Mpho ate 11 (52-11=41)

41-19=22 sweets

Now divide 22=11

David had 25 sweets

52-25=27 sweets

Mpho had 27 sweets

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1. work out what the amount of sweets would be if the total was divided equally: 52 / 2 = 26 sweets

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1. work out what the amount of sweets would be if the total was divided equally: 52 / 2 = 26 sweets

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2. We work out what Mpho ate and gave away: 26 - 11 - 5 = 10

3. We work out what David would have had after receiving the 5 sweets from Mpho: 26 + 5 = 31

4. Work out what the difference between the two is: 31 - 10 = 21 (this can't be right as the answer is not 19.

5. Try again: instead of dividing equally, I give Mpho 27 (26 + 1) and David 25 (26 - 1)

6. Same process: Mpho -> 27 - 11 - 5 = 11

David -> 25 + 5 = 30

Difference -> 30 - 11 = 19

7. Therefore, my answer is David originally had 25.

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52 - 11 = 41

41 - 19 = 22

divide 22 = 11

11 + 19 = 30 - 5 = 25

David had 25

52 - 25 = 27

Mpho had 27

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if Mpho ate 11 it will be 52 - 11 = 41.

And Mpho gave David 5 He would have have 41 + 5 = 46 and if Mpho has 19 fewer there will be 52 - 19 = 33 or if not i think 46 - 19 = 27

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They had 52 to start with. If you subtract 11 that was eaten, you left with 41 between them. 52-11=41.

David has 19 more sweets than Mpho, so that should also be subtracted from the total. 41-19=22.

Now that the difference (19) has been subtracted, the rest (22) should be divided equally between them. 22/2=11.

This means that at the end Mpho had 11 sweets and David has 11+19=30.

if you subtract the 5 that Mpho gave David 30-5, you get that David had 25 sweets in the beginning.

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It is a very difficult problem to solve, especially for grade 6 learners. They don't have the knowledge of algebraic equations yet, so they would've needed to make another plan.

I tried to not bring the above into solving the problem. I started to change the 52 to 50. I imagined that Mpho and David both had 25 sweets each.

Mpho: 25-11-5 = 9

David: 25+5 = 30

Difference: 30-9 = 21 (NOT = 19)

Then I tried to work with 51. Mpho had 24 and David 27.

Mpho: 24-11-5 = 8

David: 27+5=31

Difference: 31-8 = 23 (now I noticed that the difference went up and that Mpho must have more sweets than David from the start).

So my next step was to try 27 (Mpho) and 25 (David):

Mpho: 27-11-5 = 11

David: 25+5 = 30

Difference: 30-11 = 19 (YES!)

This concludes that Mpho started with 27 sweets and David with 25.

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Total sweets: 52

52 - x - 11 - 5 + 19 = x + 5

52 - x + 3 = x + 5

55 - x = x + 5

50 = x + x

2x = 50

x = 25

David got 25.

Mpho: 52 - 25 = 27