Warren, Charlie and Eric had some balls. Charlie had 40% less balls than Warren. Charlie had
25 of Eric's. After Warren gave 56 balls to Charlie, he had
12 of what Charlie had. How many more balls did Eric have than Warren in the end?
Warren |
Charlie |
Eric |
5x2 |
3x2 |
|
|
2x3 |
5x3 |
10 |
6 |
15 |
|
Eric |
Warren |
Charlie |
Total balls of Warren and Charlie |
Before |
15x3 = 45 u |
10x3 = 30 u |
6x3 = 18 u |
16x3 = 48 u |
Change |
|
- 56 |
+ 56 |
|
After |
45 u |
1x16 = 16 u |
2x16 = 32 u |
3x16 = 48 u |
Number of balls that Charlie had less than Warren at first in percent
= 100% - 40%
= 60%
60% =
60100 =
35 Warren : Charlie = 5 : 3
The number of balls that Charlie had at first is repeated. Make the number of balls that Charlie had at first the same. LCM of 3 and 2 is 6.
When Warren gave 56 balls to Charlie, the total number of balls that Charlie and Warren had at first and in the end remains the same. Make the total number of balls that Charlie and Warren had the same. LCM of 16 and 3 is 48.
Number of balls that Warren gave to Charlie
= 30 u - 16 u
= 14 u
14 u = 56
1 u = 56 ÷ 14 = 4
Number of balls that Eric had more than Warren in the end
= 45 u - 16 u
= 29 u
= 29 x 4
= 116
Answer(s): 116