Question

Milo's pancake recipe makes 9 servings. It calls for 3/4 cup milk. Milo wants to make 6 servings. How much milk will he need?

Answer 1

It says that the recipe for 9 servings would require 3/4 cup milk.

He wants to prepare recipe for 6 servings. Let's assume it requires X cups milk.

Now we can use concept of proportions to solve this problem.

The proportion of X cups for 6 servings would be same as 3/4 cup milk for 9 servings. Mathematically, we can write it as follows :-

$\frac{X \;cups \;milk}{6 \;servings} = \frac{\frac{3}{4} \;cups \;milk}{9 \;servings} \\\\ Or\; \frac{X \;cups \;milk}{\frac{3}{4} \;cups \;milk} = \frac{6 \;servings}{9 \;servings} \\\\ \frac{X }{\frac{3}{4} } = \frac{6 }{9 } \\\\ X = \frac{6}{9}*\frac{3}{4} \\\\ X = \frac{6*3}{9*4} \\\\ X = \frac{18}{36} \\\\ X = \frac{1}{2} \;cup \;milk$

Hence, we require $\frac{1}{2}$ cup milk for 6 servings.

Answer 2

1/2 cup of milk for 6 servings