Eric, Ivan and Justin had some balls. Ivan had 80% less balls than Eric. Ivan had
58 of Justin's. After Eric gave 95 balls to Ivan, he had
14 of what Ivan had. How many more balls did Justin have than Eric in the end?
Eric |
Ivan |
Justin |
5x5 |
1x5 |
|
|
5x1 |
8x1 |
25 |
5 |
8 |
|
Justin |
Eric |
Ivan |
Total balls of Eric and Ivan |
Before |
8x1 = 8 u |
25x1 = 25 u |
5x1 = 5 u |
30x1 = 30 u |
Change |
|
- 95 |
+ 95 |
|
After |
8 u |
1x6 = 6 u |
4x6 = 24 u |
5x6 = 30 u |
Number of balls that Ivan had less than Eric at first in percent
= 100% - 80%
= 20%
20% =
20100 =
15 Eric : Ivan = 5 : 1
The number of balls that Ivan had at first is repeated. Make the number of balls that Ivan had at first the same. LCM of 1 and 5 is 5.
When Eric gave 95 balls to Ivan, the total number of balls that Ivan and Eric had at first and in the end remains the same. Make the total number of balls that Ivan and Eric had the same. LCM of 30 and 5 is 30.
Number of balls that Eric gave to Ivan
= 25 u - 6 u
= 19 u
19 u = 95
1 u = 95 ÷ 19 = 5
Number of balls that Justin had more than Eric in the end
= 8 u - 6 u
= 2 u
= 2 x 5
= 10
Answer(s): 10