Julian, Perry and Owen had some marbles in the ratio of 6 : 7 : 13. Owen gave 40% of his marbles to Julian and Perry. As a result, Julian had the same number of marbles as Perry and Owen had 26 fewer marbles than Julian.

1. What was the percentage increase in Julian's marbles after receiving from Owen?
2. How many marbles did Perry have at first?

Julian	Perry	Owen	Total
6 u	7 u	13 u	26 u
+ 5.2 u		- 5.2 u
9.1 u	9.1 u	7.8 u	26 u

(a)
Number of marbles that Owen gave away
= 40% x 13
= ⁴⁰₁₀₀ x 13
= 5.2 u

Number of marbles that Julian and Perry each had in the end
= (26 u - 7.8 u) ÷ 2
= 18.2 u ÷ 2
= 9.1 u

Increase in the number of marbles that Julian had
= 9.1 u - 6 u
= 3.1 u

Percentage increase in Julian's marbles after receiving from Owen
= ^3.1₆ x 100%
= 51.666666666667%

(b)
9.1 u = 7.8 u + 26
9.1 u - 7.8 u = 26
1.3 u = 26

1 u = 26 ÷ 1.3 = 20

Number of marbles that Perry had at first
= 7 u
= 7 x 20
= 140

Answer(s): (a) 51.666666666667%; (b) 140