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Math is Fun Worksheet "print your own worksheets at mathsisfun.com"

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Math is Fun Worksheet "print your own worksheets at mathsisfun.com"

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Math is Fun Worksheet "print your own worksheets at mathsisfun.com"

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Pretest

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Math is Fun Worksheet "print your own worksheets at mathsisfun.com"

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Solving percent problems using proportions  

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Solving percent problems using proportions  

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There are a variety of ways to solve percent problems, many of which can be VERY confusing. Fortunately, the PROPORTION METHOD will work for all three types of questions:

What number is 75% of 4?

3 is what percent of 4?

75% of what number is 3?

Using the PROPORTION METHOD, the set-up is always the same:

PERCENT

--

the number with the percent sign (%).

PART

--

the number with the word is.

WHOLE

--

the number with the word of.

EXAMPLE #1:

( What number is 75% of 4? or Find 75% of 4.)

The PERCENT always goes over 100.
(It's a part of the whole 100%.)
4 appears with the word of:
It's the WHOLE and goes on the bottom.

We're trying to find the missing PART (on the top).

The missing PART equals 4 times 75 divided by 100.

EXAMPLE #2:

3 is what percent of 4?

3 appears with the word is: It's the PART and goes on top.
4 appears with the word of:
It's the WHOLE and goes on the bottom.

We're trying to find the missing PERCENT (out of the whole 100%).

The missing PERCENT equals 100 times 3 divided by 4.

EXAMPLE #3:

( 75% of what number is 3? or 3 is 75% of what number?)

The PERCENT always goes over 100.
(It's a part of the whole 100%.)
3 appears with the word is:
It's the PART and goes on the top.

We're trying to find the missing WHOLE (on the bottom).

The missing WHOLE equals 3 times 100 divided by 75.

Even unfriendly-looking problems like this can be solved using the PROPORTION METHOD:
EXAMPLE #4:

( Find 83 2/3 % of 12.6 or What number is 83 2/3 % of 12.6?)

The PERCENT always goes over 100.
(It's a part of the whole 100%.)
12.6 appears with the word of:
It's the WHOLE and goes on the bottom.

We're trying to find the missing PART (on the top).

The missing PART equals 12.6 times 83 2/3 divided by 100.

12.6 times 83 2 / 3

=

( ¹²⁶/ ₁₀)( ²⁵¹/ ₃)

=

³¹⁶²⁶/ 30

=

( ³¹⁶²⁶/ ₃₀)( ¹/ ₁₀₀)

=

( ¹⁰⁰/₁)(¹/₁₀₀)(the part)

³¹⁶²⁶/ ₃₀₀₀

=

¹⁰⁵⁴²/ ₁₀₀₀

=

PLEASE NOTE: There are MANY other ways to do the arithmetic in this problem - hopefully this shows the steps in an understandable manner; it is neither the easiest nor the best approach.

The same method can be used to find the PART or the WHOLE if you are given a fraction instead of a percent. (Remember a percent is simply that amountper 100.).Solve using cross-products:

SAMPLE PROBLEM #1:

SAMPLE PROBLEM #2:

10 is 2/3 of what number?

© 1999 Amby Duncan-Carr All rights reserved.

The URL ofthis page is:
http://amby.com/educate/math/4-2_prop.html

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using the proportion method to solve percent problems

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Using the Proportion Method to Solve Percent Problems

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There are a variety of ways to solve percent problems, many of which can be VERY confusing. Fortunately, the PROPORTION METHOD will work for all three types of questions: What number is 75% of 4? 3 is what percent of 4? 75% of what number is 3?

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In the problem, 8 is what percent of 20?, the number 8 is some percent of the number 20.Looking at this problem, it is clear that 8 is the part and 20 is the whole. Similarly, in the statement, " One number is some percent of another number.", the phrase " one number" represents the part and " another number" represents the whole.

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Writing Equations and Inequalities From Situations.pptx - Microsoft PowerPoint Online

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830487 is the code toplay

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