Question

Quinn, Rhonda and Sue shared 3/4 of a whole pizza. Quinn was hungrier than Rhonda and ate twice as much as Rhonda did. Sue ate 3/4 as much as Rhonda . What part of the whole pizza did each person eat?

Answer 1

Quinn ate 2/5, Rhonda ate 1/5 and Sue ate 3/20 of the pizza

Explanation:

Let the amount Quinn ate be q.

Let the amount Rhonda ate be r.

Let the amount sue ate be s.

Quinn, Rhonda and Sue shared 3/4 of a whole pizza. This means that:

q + r + s = 3/4 ________ (1)

Quinn ate twice as much as Rhonda did. This means that:

q = 2r _______________(2)

Sue ate 3/4 as much as Rhonda. This means that:

s = 3/4 * r = 3r / 4 _______ (3)

Put (2) and (3) back in (1):

2r + r + 3r/4 = 3/4

=> 15r/4 = 3/4

=> r = (3 / 4) * (4 / 15)

r = 1/5

Put the value of r in (2) and (3), we have:

q = 2 * 1/5 = 2/5

and

s = 3/4 * 1/5 = 3/20

Therefore, Quinn ate 2/5, Rhonda ate 1/5 and Sue ate 3/20 of the pizza.