Bryan, Ryan and Harry had some marbles in the ratio of 2 : 3 : 5. Harry gave 40% of his marbles to Bryan and Ryan. As a result, Bryan had the same number of marbles as Ryan and Harry had 35 fewer marbles than Bryan.

1. What was the percentage increase in Bryan's marbles after receiving from Harry?
2. How many marbles did Ryan have at first?

Bryan	Ryan	Harry	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 marbles that Harry gave away
= 40% x 5
= ⁴⁰₁₀₀ x 5
= 2 u

Number of marbles that Bryan and Ryan each had in the end
= (10 u - 3 u) ÷ 2
= 7 u ÷ 2
= 3.5 u

Increase in the number of marbles that Bryan had
= 3.5 u - 2 u
= 1.5 u

Percentage increase in Bryan's marbles after receiving from Harry
= ^1.5₂ x 100%
= 75%

(b)
3.5 u = 3 u + 35
3.5 u - 3 u = 35
0.5 u = 35

1 u = 35 ÷ 0.5 = 70

Number of marbles that Ryan had at first
= 3 u
= 3 x 70
= 210

Answer(s): (a) 75%; (b) 210