Flynn, Warren and Charlie had some coins in the ratio of 5 : 6 : 11. Charlie gave 50% of his coins to Flynn and Warren. As a result, Flynn had the same number of coins as Warren and Charlie had 44 fewer coins than Flynn.

1. What was the percentage increase in Flynn's coins after receiving from Charlie?
2. How many coins did Warren have at first?

Flynn	Warren	Charlie	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 coins that Charlie gave away
= 50% x 11
= ⁵⁰₁₀₀ x 11
= 5.5 u

Number of coins that Flynn and Warren each had in the end
= (22 u - 5.5 u) ÷ 2
= 16.5 u ÷ 2
= 8.25 u

Increase in the number of coins that Flynn had
= 8.25 u - 5 u
= 3.25 u

Percentage increase in Flynn's coins after receiving from Charlie
= ^3.25₅ x 100%
= 65%

(b)
8.25 u = 5.5 u + 44
8.25 u - 5.5 u = 44
2.75 u = 44

1 u = 44 ÷ 2.75 = 16

Number of coins that Warren had at first
= 6 u
= 6 x 16
= 96

Answer(s): (a) 65%; (b) 96