Cole, Peter and Jenson had some stickers in the ratio of 2 : 3 : 5. Jenson gave 40% of his stickers to Cole and Peter. As a result, Cole had the same number of stickers as Peter and Jenson had 27 fewer stickers than Cole.

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

Cole	Peter	Jenson	Total
2 u	3 u	5 u	10 u
+ 2 u		- 2 u
3.5 u	3.5 u	3 u	10 u

(a)
Number of stickers that Jenson gave away
= 40% x 5
= ⁴⁰₁₀₀ x 5
= 2 u

Number of stickers that Cole and Peter each had in the end
= (10 u - 3 u) ÷ 2
= 7 u ÷ 2
= 3.5 u

Increase in the number of stickers that Cole had
= 3.5 u - 2 u
= 1.5 u

Percentage increase in Cole's stickers after receiving from Jenson
= ^1.5₂ x 100%
= 75%

(b)
3.5 u = 3 u + 27
3.5 u - 3 u = 27
0.5 u = 27

1 u = 27 ÷ 0.5 = 54

Number of stickers that Peter had at first
= 3 u
= 3 x 54
= 162

Answer(s): (a) 75%; (b) 162