Eric, Glen and Howard had some coins in the ratio of 2 : 3 : 5. Howard gave 40% of his coins to Eric and Glen. As a result, Eric had the same number of coins as Glen and Howard had 24 fewer coins than Eric.
- What was the percentage increase in Eric's coins after receiving from Howard?
- How many coins did Glen have at first?
| Eric |
Glen |
Howard |
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 coins that Howard gave away
= 40% x 5
=
40100 x 5
= 2 u
Number of coins that Eric and Glen each had in the end
= (10 u - 3 u) ÷ 2
= 7 u ÷ 2
= 3.5 u
Increase in the number of coins that Eric had
= 3.5 u - 2 u
= 1.5 u
Percentage increase in Eric's coins after receiving from Howard
=
1.52 x 100%
= 75%
(b)
3.5 u = 3 u + 24
3.5 u - 3 u = 24
0.5 u = 24
1 u = 24 ÷ 0.5 = 48
Number of coins that Glen had at first
= 3 u
= 3 x 48
= 144
Answer(s): (a) 75%; (b) 144
