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math

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3/7 of the muffins in the bakery were carrot muffins. The number of blueberry muffins was twice the number of multi grain muffins. The number of multi-grain muffings was 1/3 the number of banana muffins. If there were 108 multi0grain muffins, how many carrot muffins were there?

  • math -

    multigrain -- 108
    banana ----- 324
    blueberry --- 216
    carrot ------- x

    (3/7)(total) = x
    (3/7)( 108+324+216+x) = x
    3(648+x) = 7x
    1944 + 3x = 7x
    4x = 1944
    x = 486

    There were 486 carrot muffins

    check:
    total = 108+324+216+486 = 1134

    is (3/7)(1134) = 486 ?? YES

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