Andy, Pierre and Wesley had some cards in the ratio of 6 : 7 : 13. Wesley gave 40% of his cards to Andy and Pierre. As a result, Andy had the same number of cards as Pierre and Wesley had 26 fewer cards than Andy.

1. What was the percentage increase in Andy's cards after receiving from Wesley?
2. How many cards did Pierre have at first?

Andy	Pierre	Wesley	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 cards that Wesley gave away
= 40% x 13
= ⁴⁰₁₀₀ x 13
= 5.2 u

Number of cards that Andy and Pierre each had in the end
= (26 u - 7.8 u) ÷ 2
= 18.2 u ÷ 2
= 9.1 u

Increase in the number of cards that Andy had
= 9.1 u - 6 u
= 3.1 u

Percentage increase in Andy's cards after receiving from Wesley
= ^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 cards that Pierre had at first
= 7 u
= 7 x 20
= 140

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