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Math Help - Number calculation

  1. #1
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    Number calculation

    Hi Experts,

    The cost of 12 Chairs and 15 Tables is Rs 58,968. What is the cost of 4 Chairs and 7 Tables ?


    1. 18666
    2. 23456
    3. 19656
    4. Can not be Determined
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  2. #2
    MHF Contributor

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    Re: Number calculation

    Letting C be the cost of a chair and T be the cost of a table, we have 12C+ 15T= 58968. That is NOT enough to solve for either C or T. We could, for example, divide by 3 to get 4C+ 5T= 19656. But that is not "4C+ 5T". If we were able to determine 4C+ 7T= A, we could get, by subtracting, 2T= 19656- A and so solve for T and, of course, then, solve for C. Since, in fact, there exist an infinite number of values of T and C that satisfy 12C+ 15T= 58968, there are an infinite number of values of A in 4C+ 7T= A.
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  3. #3
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    Re: Number calculation

    Thanks
    HallsofIvy
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