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    orelan's Avatar
    orelan Posts: 5, Reputation: 1
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    #1

    Apr 17, 2009, 04:57 PM
    linear systems and equations
    Can someone help me with this problem? I'd be grateful.
    The Everton College store paid 1532 for an order of 42 calculators. The store paid $8 ea. for science calculators. The others, all graphing calculators, cost the store $54 ea. How many of each type of calculators was ordered?
    Thank-you for any help.
    Perito's Avatar
    Perito Posts: 3,139, Reputation: 150
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    #2

    Apr 17, 2009, 06:33 PM

    $1532 for 42 calculators

    I assume that the store didn't mark up the price. Otherwise, the problem is unsolvable.

    S = number of scientific calculators
    G = number of graphing calculators

    S + G = 42
    8S + 54G = 1532

    You now have two (independent) equations and two unknowns. That is easily solvable.
    Stratmando's Avatar
    Stratmando Posts: 11,188, Reputation: 508
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    #3

    Apr 17, 2009, 06:42 PM

    This is how you(I would) figure if you don't know the formula.
    You know most of the $1532 will need to be eaten up with the $54 calculators. 1532/54=28.370370..
    so their can't be more than 28 $54 calculators, so you try 25X54=1350, so you try 17(42-25)X
    8 and that equals 136.
    1350+136=1486.
    Now you know it is between 26 and 28 $54calculators.
    The real problem is showing how you got this answer.

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