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

$\text{You need }1\frac{1}{4}\text{ cups of sugar to make 20 cookies }$

Let us first convert the mixed number into fraction

$1\frac{1}{4}=\frac{(1\times4)+1}{4}=\frac{4+1}{4}=\frac{5}{4}$

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

$\frac{x}{14}=\frac{\frac{5}{4}}{20}$

Finally, let us solve the above equation for x.

$\begin{gathered} \frac{x}{14}=\frac{\frac{5}{4}}{20} \\ x=\frac{\frac{5}{4}}{20}\times14 \\ x=\frac{5}{4}\times\frac{1}{20}\times14 \\ x=\frac{5\times1\times14}{4\times20} \\ x=\frac{70}{80} \\ x=\frac{7}{8} \end{gathered}$

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