alanguevara681 alanguevara681
  • 03-07-2018
  • Mathematics
contestada

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.

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Edufirst
Edufirst Edufirst
  • 03-07-2018
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

[tex] \frac{ \frac{19}{4}cups }{10servings} [/tex]

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

[tex]\frac{ \frac{19}{4}cups }{10servings}= \frac{x}{1serving} [/tex]

3) Solve for the unknown:

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