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28 May, 02:08

3/4 of the weight of a bunch of grapes is equivalent to 3/5 of the weight of a papaya. If the grapes way (X + 28) pounds what is the weight of a papaya in terms of X

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  1. 28 May, 02:34
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    Let p = weight of papaya and g = weight of grapes.

    Then (3/4) g = (3/5) p. Since the weight of grapes is x + 28,

    (3/4) (x + 28) = (3/5) p. We must solve for x. To do this, mult. both sides by (5/3):

    (5/3) (3/4) (x+28) = (5/3) (3/5) p

    Then p = (15/9) (x+28), or (after reduction), p = (5/3) (x+28).
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