Math

Jim paid $ 5.55 for 1 notepad and 7 pencils. Anne paid $ 12.28 for 3 notepads and 2 pencils. How much does each notepad cost? Show all work

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  1. 1n + 7p = 5.55
    3n + 2p = 12.28

    from the first:
    n = 5.55-7p

    sub into the 2nd

    3(5.55-7p) + 2p = 12.28
    16.65 - 21p + 2p = 12.28
    -19p = -4.37
    p = .23

    then n = 5.55 - 7(.23) = 3.94

    check:
    1 notebook + 7 pencils
    = 3.94 + 7(.23) = 5.55
    3 notebooks + 2 pencils
    = 3(3.94) + 2(.23) = 12.28

    checks out!

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  2. 1n+7p = 5.55
    3n+2p = 12.28

    that's the same as

    2n+14p = 11.10
    21n+14p = 85.96

    now subtract to get rid of the p's

    19n = 74.86
    n = 3.94

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