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A small business owner makes earrings and sells them online. They got 37 orders for frog earrings, 21 orders for mushroom earrings, and earned $324.50 in one week. They got 34 orders for frog earrings, 42 orders for mushroom earrings, and earned $389 the next week. How much do frog earrings cost, and how much do mushroom earrings cost?

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Find the two equations: 37x + 21y = 324.5 and 34x + 42y = 389.

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Multiply the first equation (37x + 21y = 324.5) by 2, which will get 74x + 42y = 649 and allow you to cancel the two 42y from both equations.

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Subtract the first equation from the second equation. It should look like
74x + 42y = 649
-34x - 42y = 389
And then the result should be 40x = 260.

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Divide both sides by 40 to get the value of x, which is 6.5.

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Substitute 6.5 for the value of x in one of the equations. For example, the x in 37x + 21y = 324.5 will be replaced with 37(6.5) + 21y = 324.5 which is equal to 240.5 + 21y = 324.5

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Solve for y in the equation you used to substitute 6.5 for x. For example, my equation is 240.5 a= 21y = 324.5 after substituting, so now I'm going to isolate x. Subtract the number that's being added to the variable in order to isolate it. For example, I'll subtract 240.5 from both sides to isolate 21y.

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After subtracting the number that's being added to the variable from both sides, divide both sides by the amount that the variable is being multiplied by. For example, my equation is now 21y = 84. To get the value of y, I have to divide both sides by 21. 21y / 21 = y and 84 / 21 = 4. In conclusion, y = 4.

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The value of x is equal to the cost of frog earrings, which is $6.50. The value of y is equal to the cost of mushroom earrings, which is $4.

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If you substitute the values of x and y for both of the equations, it is correct. For the first equation, 37 x 6.5 = 240.5 and 21 x 4 = 84. 240.5 + 84 = 324.5, which is the sum of 37x + 21y. For the second equation, 34 x 6.5 = 221 and 42 x 4 = 168. 221 + 168 = 389, which is the sum of 34x + 42y.

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Another way to use Padlet can be used to explain the timeline of something, such as a timeline of LGBTQ history or a timeline of books made by a specific author, etc.