Save-way-more food store received a delivery of 86 boxes of apples and bananas. Each box of apples had a mass of 32 Ib., and each box of bananas had a mass of 16 Ib. The total mass of the delivery was 1968 Ib.

a.) Write a linear system to model this situation.

b.) How many boxes of each fruit were there? Graph, indicate your solution clearly and give the windows on your calculator.

Question

Mathematics

Ireland Mills

1 August, 16:40

Save-way-more food store received a delivery of 86 boxes of apples and bananas. Each box of apples had a mass of 32 Ib., and each box of bananas had a mass of 16 Ib. The total mass of the delivery was 1968 Ib.

a.) Write a linear system to model this situation.

b.) How many boxes of each fruit were there? Graph, indicate your solution clearly and give the windows on your calculator.

+3

Answers (1)

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Gilberto Roman · Answer 1

1) write a linear system - let a = boxes of apples and b = boxes of bananas

a + b = 86

32a + 16b = 1968

2) solve - use substitution

a = 86 - b

32 (86 - b) + 16b = 1968

2752 - 32b + 16b = 1968

-16b = - 784

16b = 784

b = 49

a + 49 = 86

a = 37

37 boxes of apples and 49 boxes of bananas