Wesley, Jenson and Peter had some stickers in the ratio of 5 : 6 : 11. Peter gave 50% of his stickers to Wesley and Jenson. As a result, Wesley had the same number of stickers as Jenson and Peter had 22 fewer stickers than Wesley.

1. What was the percentage increase in Wesley's stickers after receiving from Peter?
2. How many stickers did Jenson have at first?

Wesley	Jenson	Peter	Total
5 u	6 u	11 u	22 u
+ 5.5 u		- 5.5 u
8.25 u	8.25 u	5.5 u	22 u

(a)
Number of stickers that Peter gave away
= 50% x 11
= ⁵⁰₁₀₀ x 11
= 5.5 u

Number of stickers that Wesley and Jenson each had in the end
= (22 u - 5.5 u) ÷ 2
= 16.5 u ÷ 2
= 8.25 u

Increase in the number of stickers that Wesley had
= 8.25 u - 5 u
= 3.25 u

Percentage increase in Wesley's stickers after receiving from Peter
= ^3.25₅ x 100%
= 65%

(b)
8.25 u = 5.5 u + 22
8.25 u - 5.5 u = 22
2.75 u = 22

1 u = 22 ÷ 2.75 = 8

Number of stickers that Jenson had at first
= 6 u
= 6 x 8
= 48

Answer(s): (a) 65%; (b) 48