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how to solve this question? to print 6000 post cards suppose it costs 2 cents to print a large postcard and 1 cent to print a small postcard. If $97 dolllars is allocated for printing the postcards how many of each type can be printed

  • algebra -

    Altogether you have 9700 cents, so you just need to find b and s (for big and small) such that

    2b+s = 9700

    but, you also know that

    b+s = 6000

    So,

    2b+(6000-b) = 9700
    b+6000 = 9700
    b=3700

    So, print 3700 big cards and 2300 small cards.

    check:

    2*3700 = 7400
    1*2300 = 2300
    total: 9700

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