Question

Amanda used 45 ounces of sugar to make 75 cupcakes. How many ounces of sugar will be used to make 255 cupcakes?

Answer 1

Answer: 150 ounces of sugar

Explanation:

75 divided by 45 is 1.7 ounces, that means one cupcake has approximately 1.7 ounces in it. So 255 divided by 1.7 gives us 150 ounces.

Answer 2

Ounces of Sugar used by Amanda to make 75 cupcakes = 45 Ounces

As, number of ounces of sugar is in Direct variation with number of cupcakes.

The meaning of direct variation is , the ratio of two variables in each case is same.

Here , Ratio of ounces of sugar, to number of cupcakes in each case will be same.

Let number of ounces of sugar which will be used to make 255 cupcakes be x ounces.

`(45)/(75)=(x)/(255)\\\\ (3)/(5)=(x)/(255)\\\\ x=(255 * 3)/(5)\\\\ x=(765)/(5)\\\\ x=153`

So, Number of ounces of sugar which will be used to make 255 cupcakes = 153 ounces.