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3 September, 13:09

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.

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  1. 3 September, 16:31
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    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
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