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1 September, 16:16

James bought 32 bolts at the hardware store for a total of $12.00. some were 3-inch bolts that cost 36 cents each and the others were 4-inch bolts that cost 42 cents each. how many 3-inch bolts did james buy?

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  1. 1 September, 18:41
    0
    Given:

    32 bolts for a total of $12.00

    3-inch bolt costing 36 cents or 0.36

    4-inch bolt costing 42 cents or 0.42

    let x represent 3-inch bolt costing 36 cents

    let y represent 4-inch bolt costing 42 cents

    x + y = 32

    0.36x + 0.42y = 12

    x = 32 - y

    0.36 (32-y) + 0.42y = 12

    11.52 - 0.36y + 0.42y = 12

    -0.36y + 0.42y = 12 - 11.52

    0.06y = 0.48

    y = 0.48/0.06

    y = 8

    x = 32 - y

    x = 32 - 8

    x = 24

    James bought 24 pcs of the 3-inch bolt and 8 pcs of the 4-inch bolt.

    To check

    0.36x + 0.42y = 12

    0.36 (24) + 0.42 (8) = 12

    8.64 + 3.36 = 12

    12 = 12
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