Question

A recipe calls for 1 1/2 cups of sugar to make

24 brownies. How much sugar is needed for
36 brownies?

Answer 1

You have to write the proportion between the number of cups of sugar and the brownies you need those cups for:

`1(1)/(2)/ 24 = x/ 36`

Getting rid of mixed fraction, we have

`(3)/(2)/ 24 = x/ 36`

Solving for x:

`24x=36\cdot(3)/(2)\iff 24x=54 \iff x=(54)/(24)=(9)/(4)=2(1)/(4)`

Answer 2

2 1/4 cups of sugar is needed for 36 brownies