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18 October, 13:28

The cost of 5 boxes of small paper clips and 2 boxes of large paper clips is $49.30. 7 boxes of small clips and 4 boxes of large ones cost $79.10. Find the cost of a box of each size of paper clips.

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  1. 18 October, 13:30
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    5x + 2y = 49.30

    7x + 4y = 79.10

    5x + 2y = 49.3

    2y = 49.3 - 5x

    y = 24.65 - 2.5x

    7x + 4 (24.65 - 2.5x) = 79.1

    7x + 98.6 - 10x = 79.1

    -3x = - 19.5

    x = 6.5

    5 (6.5) + 2y = 49.3

    32.5 + 2y = 49.3

    2y = 16.8

    y = 8.4

    big box = $8.40

    small box = $6.50
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