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

Step-by-step 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

Solution:

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.

$\frac{45}{75}=\frac{x}{255}\\\\ \frac{3}{5}=\frac{x}{255}\\\\ x=\frac{255 \times 3}{5}\\\\ x=\frac{765}{5}\\\\ x=153$

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