Asher, Eric and Jenson had some stickers in the ratio of 3 : 4 : 7. Jenson gave 40% of his stickers to Asher and Eric. As a result, Asher had the same number of stickers as Eric and Jenson had 21 fewer stickers than Asher.

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

Asher	Eric	Jenson	Total
3 u	4 u	7 u	14 u
+ 2.8 u		- 2.8 u
4.9 u	4.9 u	4.2 u	14 u

(a)
Number of stickers that Jenson gave away
= 40% x 7
= ⁴⁰₁₀₀ x 7
= 2.8 u

Number of stickers that Asher and Eric each had in the end
= (14 u - 4.2 u) ÷ 2
= 9.8 u ÷ 2
= 4.9 u

Increase in the number of stickers that Asher had
= 4.9 u - 3 u
= 1.9 u

Percentage increase in Asher's stickers after receiving from Jenson
= ^1.9₃ x 100%
= 63.333333333333%

(b)
4.9 u = 4.2 u + 21
4.9 u - 4.2 u = 21
0.7 u = 21

1 u = 21 ÷ 0.7 = 30

Number of stickers that Eric had at first
= 4 u
= 4 x 30
= 120

Answer(s): (a) 63.333333333333%; (b) 120