Ian, Seth and Will had some coins in the ratio of 2 : 3 : 5. Will gave 40% of his coins to Ian and Seth. As a result, Ian had the same number of coins as Seth and Will had 48 fewer coins than Ian.
- What was the percentage increase in Ian's coins after receiving from Will?
- How many coins did Seth have at first?
| Ian |
Seth |
Will |
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 Will gave away
= 40% x 5
=
40100 x 5
= 2 u
Number of coins that Ian and Seth each had in the end
= (10 u - 3 u) ÷ 2
= 7 u ÷ 2
= 3.5 u
Increase in the number of coins that Ian had
= 3.5 u - 2 u
= 1.5 u
Percentage increase in Ian's coins after receiving from Will
=
1.52 x 100%
= 75%
(b)
3.5 u = 3 u + 48
3.5 u - 3 u = 48
0.5 u = 48
1 u = 48 ÷ 0.5 = 96
Number of coins that Seth had at first
= 3 u
= 3 x 96
= 288
Answer(s): (a) 75%; (b) 288
