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

1. What was the percentage increase in Flynn's stickers after receiving from Henry?
2. How many stickers did Nick have at first?

Flynn	Nick	Henry	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 Henry gave away
= 40% x 7
= ⁴⁰₁₀₀ x 7
= 2.8 u

Number of stickers that Flynn and Nick 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 Flynn had
= 4.9 u - 3 u
= 1.9 u

Percentage increase in Flynn's stickers after receiving from Henry
= ^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 Nick had at first
= 4 u
= 4 x 30
= 120

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