Question

You need 1 1/4 cups of sugar to make 20 cookies To make 16 cookies, you will need cups of sugar . Enter your answer as a fraction or whole number.

Answer 1

First, write the number of cups of sugar as an improper fraction:

`1(1)/(4)=1+(1)/(4)=(4)/(4)+(1)/(4)=(5)/(4)`

Divide the number of cups of sugar by the total number of cookies to know how much sugar is needed to make one cookie:

`((5)/(4))/20=(5)/(4)\cdot(1)/(20)=(5)/(4\cdot20)=(5)/(4\cdot4\cdot5)=(1)/(4\cdot4)=(1)/(16)`

Multiply the number of cups of sugar that each cookie needs (1/16) times the number of cookies that you want to make (16):

`(1)/(16)\cdot16=1`

Therefore, to make 16 cookies, you need 1 cup of sugar.