Question

A chef uses 4 3/4 cups of broth for 10 servings of soup. How much broth used in each serving of soup? Let x represent the number of cups.

Answer 1

Answer: 0.475 cups of broth per serving.

Explanation:


1) Ratio given:

 i) To facilitate the operations, transform the mixed number 4 3/4 cups into improper fraction:

4 + 3/4 = [16 + 3] / 4 = 19 / 4

ii) ratio broth: servings

$\frac{ \frac{19}{4}cups }{10servings}$

2) Proportion with the unknown number of cups of broth per serving:

$\frac{ \frac{19}{4}cups }{10servings}= \frac{x}{1serving}$

3) Solve for the unknown:

x = [19 / 4] cups × 1 serving / 10 servings = 19 / 40 cups = 0.475 cups