Asher, Zeph and Henry had some coins in the ratio of 3 : 4 : 7. Henry gave 40% of his coins to Asher and Zeph. As a result, Asher had the same number of coins as Zeph and Henry had 28 fewer coins than Asher.

1. What was the percentage increase in Asher's coins after receiving from Henry?
2. How many coins did Zeph have at first?

Asher	Zeph	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 coins that Henry gave away
= 40% x 7
= ⁴⁰₁₀₀ x 7
= 2.8 u

Number of coins that Asher and Zeph each had in the end
= (14 u - 4.2 u) ÷ 2
= 9.8 u ÷ 2
= 4.9 u

Increase in the number of coins that Asher had
= 4.9 u - 3 u
= 1.9 u

Percentage increase in Asher's coins after receiving from Henry
= ^1.9₃ x 100%
= 63.333333333333%

(b)
4.9 u = 4.2 u + 28
4.9 u - 4.2 u = 28
0.7 u = 28

1 u = 28 ÷ 0.7 = 40

Number of coins that Zeph had at first
= 4 u
= 4 x 40
= 160

Answer(s): (a) 63.333333333333%; (b) 160