Question

Amy bakes and sells cupcakes out of her home. She uses baking pans that hold 12 cupcakes and 36 cupcakes to fill her orders. Amy needs to fill her biggest order of 504 cupcakes for a special event.

a. Write an equation to represent the number of 12-cup and 36-cup baking pans for her
order.

b. Amy needs to use a combination of the 12-cup and 36-cup baking pans to fill the order. With only eighteen 12-cup baking pans in her shop, how many of the 36-cup baking pans does she need to complete the order?

Answer 1

Below

Explanation:

a) let's say that x represents the number of 12 pan cupcakes and y represent the number of 36 pan cupcakes. For her larger order she needs 504 cupcakes so that is the total. This can be demonstrated by the equation below!

12x + 36y = 504

b) here we know that x = 18, so...

12(18) + 36y = 504

216 + 36y = 504

36y = 288

Divide both sides by 36

y = 8

Amy needs 8 of the 36 cup baking pans in order to complete her order.

Hope this helps! Best of luck <3