An apple contains 165 calories and 3 g of fiber. A banana contains 120 calories and 2 g of fiber. Set up a system of equations that could be solved to determine the number of apples (A) and bananas (B) that should be eaten to obtain 5070 calories and 90 g of fiber

Question

Dana Walsh

Mathematics

13 August, 00:43

An apple contains 165 calories and 3 g of fiber. A banana contains 120 calories and 2 g of fiber. Set up a system of equations that could be solved to determine the number of apples (A) and bananas (B) that should be eaten to obtain 5070 calories and 90 g of fiber

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Answers (1)

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Baron Meadows · Answer 1

The answer to your question is: 22 apples and 12 bananas

Step-by-step explanation:

a = apples

b = bananas

165a + 120b = 5070

3a + 2b = 90

Solve by elimination

-60 (3a + 2b = 90)

-180 a - 120b = - 5400

165a + 120b = 5070

-15 a 0 = - 330

a = - 330 / - 15

a = 22

3 (22) + 2b = 90

66 + 2b = 90

2b = 90 - 66

2b = 24

b = 24/2

b = 12