Question

You need 1 1/4 cups of sugar to make 20 cookies To make 14 cookies, you will need cups of sugar. Enter your answer as a fraction or whole number. Question 4 item

Answer 1

`\text{You need }1(1)/(4)\text{ cups of sugar to make 20 cookies }`

Let us first convert the mixed number into fraction

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

So 5/4 cups of sugar are required to make 20 cookies

To make 14 cookies, we need x cups of sugar.

So, we can write the following proportion

`(x)/(14)=((5)/(4))/(20)`

Finally, let us solve the above equation for x.

`\begin{gathered} (x)/(14)=((5)/(4))/(20) \\ x=((5)/(4))/(20)*14 \\ x=(5)/(4)*(1)/(20)*14 \\ x=(5*1*14)/(4*20) \\ x=(70)/(80) \\ x=(7)/(8) \end{gathered}`

Therefore, we need 7/8 cups of sugar to make 14 cookies.