Tommy, Oliver and Fabian had some stickers in the ratio of 3 : 4 : 7. Fabian gave 50% of his stickers to Tommy and Oliver. As a result, Tommy had the same number of stickers as Oliver and Fabian had 14 fewer stickers than Tommy.

1. What was the percentage increase in Tommy's stickers after receiving from Fabian?
2. How many stickers did Oliver have at first?

Tommy	Oliver	Fabian	Total
3 u	4 u	7 u	14 u
+ 3.5 u		- 3.5 u
5.25 u	5.25 u	3.5 u	14 u

(a)
Number of stickers that Fabian gave away
= 50% x 7
= ⁵⁰₁₀₀ x 7
= 3.5 u

Number of stickers that Tommy and Oliver each had in the end
= (14 u - 3.5 u) ÷ 2
= 10.5 u ÷ 2
= 5.25 u

Increase in the number of stickers that Tommy had
= 5.25 u - 3 u
= 2.25 u

Percentage increase in Tommy's stickers after receiving from Fabian
= ^2.25₃ x 100%
= 75%

(b)
5.25 u = 3.5 u + 14
5.25 u - 3.5 u = 14
1.75 u = 14

1 u = 14 ÷ 1.75 = 8

Number of stickers that Oliver had at first
= 4 u
= 4 x 8
= 32

Answer(s): (a) 75%; (b) 32