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Math Help - Ratio & Proportion

  1. #1
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    Lightbulb Ratio & Proportion

    Two barrels A and C contain alcohol nd water in the ratio 1:a and 1:c respectively. Equal quantities of the mixtures from the two barrels are mixed to get a mixture with alcohol and water in the ratio 1:b , where b is the arithmetic mean of a and c. what can be the value of a+b+c if all three are integers ?
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  2. #2
    GAMMA Mathematics
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    Quote Originally Posted by MathLearner View Post
    Two barrels A and C contain alcohol and water in the ratio 1:a and 1:c respectively. Equal quantities of the mixtures from the two barrels are mixed to get a mixture with alcohol and water in the ratio 1:b , where b is the arithmetic mean of a and c. what can be the value of a+b+c if all three are integers ?
    BARREL - ALCOHOL - WATER
    A - 1 - a
    C - 1 - c

    b = \frac{a+c}{2}

    a and c can be anything, but they must both be odd or both be even so that b is an integer.
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  3. #3
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    The options given for this problem re 14,10,15 & 8. Which is the right one nd what can be the individual values of a & b ?
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  4. #4
    GAMMA Mathematics
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    Quote Originally Posted by MathLearner View Post
    The options given for this problem re 14,10,15 & 8. Which is the right one nd what can be the individual values of a & b ?
    The number must be of the form: n = 1.5x

    Only one number satisfies that equation where x and n are integers.
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