Owen, Neave and Glen had some balls. Neave had 80% less balls than Owen. Neave had
35 of Glen's. After Owen gave 60 balls to Neave, he had
15 of what Neave had. How many more balls did Glen have than Owen in the end?
Owen |
Neave |
Glen |
5x3 |
1x3 |
|
|
3x1 |
5x1 |
15 |
3 |
5 |
|
Glen |
Owen |
Neave |
Total balls of Owen and Neave |
Before |
5x1 = 5 u |
15x1 = 15 u |
3x1 = 3 u |
18x1 = 18 u |
Change |
|
- 60 |
+ 60 |
|
After |
5 u |
1x3 = 3 u |
5x3 = 15 u |
6x3 = 18 u |
Number of balls that Neave had less than Owen at first in percent
= 100% - 80%
= 20%
20% =
20100 =
15 Owen : Neave = 5 : 1
The number of balls that Neave had at first is repeated. Make the number of balls that Neave had at first the same. LCM of 1 and 3 is 3.
When Owen gave 60 balls to Neave, the total number of balls that Neave and Owen had at first and in the end remains the same. Make the total number of balls that Neave and Owen had the same. LCM of 18 and 6 is 18.
Number of balls that Owen gave to Neave
= 15 u - 3 u
= 12 u
12 u = 60
1 u = 60 ÷ 12 = 5
Number of balls that Glen had more than Owen in the end
= 5 u - 3 u
= 2 u
= 2 x 5
= 10
Answer(s): 10