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math

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in a department store, there were a certain number of red t-shirts, blue t-shirts and yellow t-shirts. 3/7 of the t-shirts were red, 1/3 of them were blue, and the rest were yellow. If there were 20 more red t-shirts than blue t-shirts, how many yellow t-shirts were there?

  • math - ,

    X = the total # of t-shirts.
    3x/7 = the # of red t-shirts.
    x/3 = the # of blue t-shirts.
    (3x/7-20)=The # of blue t-shirts,also.

    x/3 = 3x/7 - 20,
    x/3 - 3x/7 = -20,
    Multiply both sides by 21:
    7x - 9x = -420,
    -2x = -420,
    X = 210.

    3x/7 = 3*210 / 7 = 90 Red t-shirts.

    x/3 = 210 / 3 = 70 Blue t-shirts.

    Y = 210 - 90 - 70 = 50 Yellow t-shirts.

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