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Luda [366]
2 years ago
14

Kaapo is mixing Kona beans and Maui beans to make 25 pounds of coffee blend. Kona beans cost Kaapo $15 per pound and Maui beans

cost $24 per pound. How many pounds of each coffee bean should Kaapo use for his blend to cost him $17.70 per pound?
Mathematics
1 answer:
son4ous [18]2 years ago
8 0

Answer:

<u>Kaapo will use 17.5 pounds of Kona beans and 7.5 pounds of Maui beans for his blend to cost him $ 17.70 per pound.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Number of pounds of the coffee blend = 25

Cost of Kona beans = US$ 15 per pound

Cost of Maui beans = US$ 24 per pound

Cost of the coffee blend = US$ 17.70 per pound

2. How many pounds of each coffee bean should Kaapo use for his blend to cost him $17.70 per pound?

Let's build our equation to answer the question, this way:

x = Number of pounds of Kona beans for Kaapo's blend

25 - x = Number of pounds of Maui beans for Kaapo's blend

Number of pounds of Kona beans for Kaapo's blend * Cost of Kona beans +  Number of pounds of Maui beans for Kaapo's blend * Cost of Maui beans = Number of pounds of the coffee blend * Cost of the coffee blend

Replacing with the real values, we have:

15x + 24 (25-x) = 17.70 * 25

15x + 600 - 24x = 442.50

-9x = 442.50 - 600

-9x = -157.50

x = -157.50/-9

x = 17.50 ⇒ 25 - x = 7.50

<u>Kaapo will use 17.5 pounds of Kona beans and 7.5 pounds of Maui beans for his blend to cost him $ 17.70 per pound.</u>

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a. 15 students are members of both clubs

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Step-by-step explanation:

The given is:

  • There are 100 students
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We need to find how many students are members of

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∵ 100 - 10 = 90

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∵ 40 students are members of a physics club

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∵ n(mathematics or physics) = n(mathematics) + n(physics) - n(both)

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∴ n(both) = 15

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a. 15 students are members of both clubs

∵ 65 students are members of the mathematics club

∵ 15 of them are members of the physics club

∴ n(mathematics only) = 65 - 15 = 50

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b. 50 students only are members of the mathematics club

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∵ 15 of them are members of the mathematics club

∴ n(physics only) = 40 - 15 = 25

∴ 25 students only are members of the physics club

c. 25 students only are members of the physics club

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Answer:

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Step-by-step explanation:

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