Question

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

Answer 1

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).