Eric, Ben and Zeph had some balls. Ben had 40% less balls than Eric. Ben had
58 of Zeph's. After Eric gave 187 balls to Ben, he had
14 of what Ben had. How many more balls did Zeph have than Eric in the end?
Eric |
Ben |
Zeph |
5x5 |
3x5 |
|
|
5x3 |
8x3 |
25 |
15 |
24 |
|
Zeph |
Eric |
Ben |
Total balls of Eric and Ben |
Before |
24x1 = 24 u |
25x1 = 25 u |
15x1 = 15 u |
40x1 = 40 u |
Change |
|
- 187 |
+ 187 |
|
After |
24 u |
1x8 = 8 u |
4x8 = 32 u |
5x8 = 40 u |
Number of balls that Ben had less than Eric at first in percent
= 100% - 40%
= 60%
60% =
60100 =
35 Eric : Ben = 5 : 3
The number of balls that Ben had at first is repeated. Make the number of balls that Ben had at first the same. LCM of 3 and 5 is 15.
When Eric gave 187 balls to Ben, the total number of balls that Ben and Eric had at first and in the end remains the same. Make the total number of balls that Ben and Eric had the same. LCM of 40 and 5 is 40.
Number of balls that Eric gave to Ben
= 25 u - 8 u
= 17 u
17 u = 187
1 u = 187 ÷ 17 = 11
Number of balls that Zeph had more than Eric in the end
= 24 u - 8 u
= 16 u
= 16 x 11
= 176
Answer(s): 176