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
1 answer:
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
2) Proportion with the unknown number of cups of broth per serving:
3) Solve for the unknown:
x = [19 / 4] cups × 1 serving / 10 servings = 19 / 40 cups = 0.475 cups
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
2) Proportion with the unknown number of cups of broth per serving:
3) Solve for the unknown:
x = [19 / 4] cups × 1 serving / 10 servings = 19 / 40 cups = 0.475 cups
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Answer:
Each cookie will have to be sold for at least $0.90 if the profit is to be made is more than $25.
Step-by-step explanation:
The amount spent on supplies is $20.
The number of cookies baked is = 50.
If the profit to be made is more than $25.00 .
Then we can safely say that all the cookies have to be sold for
= $20.00 + $25.00
= $45.00
Therefor the required inequality can be written as
50 x ≥ $45.00 ⇒ x ≥ ⇒ x ≥ $0.90.
Therefore we can say that each cookie will have to be sold for at least $0.90 if the profit is to be made is more than $25.