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Math Help - Word Problem help

  1. #1
    erickalittle
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    Question Word Problem help

    I've been working on this for about 20 min. and cannot figure it out. please help.

    A cashier has only one dollar, five dollar and ten dollar bills in her cash drawer. she has 3 times as many fives as tens and has 5 times as many ones as fives. if she has a total of $440 in the drawer, set up and solve an equation to find the number of each kind of bill in the drawer.

    thank you.
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  2. #2
    hpe
    hpe is offline
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    Quote Originally Posted by erickalittle
    I've been working on this for about 20 min. and cannot figure it out. please help.

    A cashier has only one dollar, five dollar and ten dollar bills in her cash drawer. she has 3 times as many fives as tens and has 5 times as many ones as fives. if she has a total of $440 in the drawer, set up and solve an equation to find the number of each kind of bill in the drawer.

    thank you.
    She has a lot more fives and ones than tens, so let x be the number of tens. She has 3 times as many fives as tens, so she has 3x fives.
    She has 5 times as many ones as fives, so she has 15x ones.

    Now determine how much money she has in tens, fives and ones: E.g., x tens equals $10x.

    Add up the total, and you get an expression involving x. Set this equal to 440, solve for x, then compute the number of fives and ones, and you are done.
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