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6 February, 02:47

Pencils cost $7 per carton and erasers cost $4 per carton. If an order comes in for a total of 150 cartons costing $900, what was the specific number of cartons of pencils?

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  1. 6 February, 04:03
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    Let cartons of pencils = P and cartons of erasers = E

    Total cartons is 150, so you have P + E = 150

    Total cost is $900, so you have 7P + 4E = 900

    Rewrite the quantity equation as P = 150 - E

    Replace P in the cost equation:

    7 (150 - E) + 4E = 900

    Use the distributive property:

    1050 - 7E + 4E = 900

    Simplify:

    1050 - 3E = 900

    Subtract 1050 from both sides:

    -3E = - 150

    Divide both sides by - 3:

    E = - 150 / - 3

    E = 50

    There were 50 cartons of Erasers.

    Subtract the number of erasers from the total cartons to get the number of cartons of pencils:

    150 - 50 = 100 cartons of pencils.
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