Mathematics

Question

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.

1 Answer

  • 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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