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19 April, 09:58

The cost of 5 boxes of envelopes and 5 boxes of note paper is $25.95. two boxes of envelopes and 6 boxes of note paper cost $22.38. find the cost of each box of envelopes and each box of note paper

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  1. 19 April, 10:25
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    So this translates to:

    5e + 5n = 25.95

    2e + 6n = 22.38

    One way to solve that is to multiply the top equation by 2, and the bottom equation by 5:

    10e + 10n = 51.90

    10e + 30n = 111.90

    Then subtract the top from the bottom to get:

    20n = 60

    and divide by 20 to get

    n = 3

    So you know that note paper costs $3. Substituting that into the top equation you get:

    5e + 5*3 = 25.95 or

    5e + 15 = 25.95

    Subtracting 15 from both sides you get:

    5e = 10.95

    Dividing by 5 you get:

    e = $2.19
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