Question

To make 6 cups of ramen, 2/3 cups of noodles is needed. How many cups of ramen can you make with 1 3/4 cups of noodles?

Answer 1

Explanation

The question calls for using the direct proportion concept. This can be seen below.

Let the number of cups of ramen you can make with 1 3/4 cups of noodles be x. Therefore;

$\frac{6}{x}=\frac{\frac{2}{3}}{1\frac{3}{4}}$

We can them crossmultiply

$\begin{gathered} \frac{2}{3}x=\frac{7}{4}\times6 \\ \frac{2}{3}x=21 \\ 2x=63 \\ x=\frac{63}{2} \\ x=31\frac{1}{2} \end{gathered}$

Answer:

$31\frac{1}{2}\text{cups}$