Eric, Cole and Caden had some coins in the ratio of 2 : 3 : 5. Caden gave 40% of his coins to Eric and Cole. As a result, Eric had the same number of coins as Cole and Caden had 28 fewer coins than Eric.
- What was the percentage increase in Eric's coins after receiving from Caden?
- How many coins did Cole have at first?
| Eric |
Cole |
Caden |
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 Caden gave away
= 40% x 5
=
40100 x 5
= 2 u
Number of coins that Eric and Cole 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 Caden
=
1.52 x 100%
= 75%
(b)
3.5 u = 3 u + 28
3.5 u - 3 u = 28
0.5 u = 28
1 u = 28 ÷ 0.5 = 56
Number of coins that Cole had at first
= 3 u
= 3 x 56
= 168
Answer(s): (a) 75%; (b) 168
