Owen, Glen, Pierre and Harry shared $100. Harry received
14 of the total amount of money received by Owen, Glen and Pierre. Owen received
23 of the total amount for Glen and Pierre. Glen received
13 as much money as Pierre. If Pierre gave all his money to Harry, how much did Harry have more than Glen in the end?
Owen |
Glen |
Pierre |
Harry |
Total |
4x5 |
1x5 |
5x5 |
2x4 |
3x4 |
|
|
|
1x3 |
3x3 |
|
|
8 u |
3 u |
9 u |
5 u |
25 u |
The total amount that Glen and Pierre have is repeated. Make the total amount of Glen and Pierre the same. LCM of 4 and 3 is 12.
The total amount that Owen, Glen and Pierre have is repeated. Make the total amount of Owen, Glen and Pierre the same. LCM of 20 and 4 is 20.
Total amount that Owen, Glen, Pierre and Harry shared = 25 u
25 u = 100
1 u = 100 ÷ 25 = 4
|
Owen |
Glen |
Pierre |
Harry |
Before |
8 u |
3 u |
9 u |
5 u |
Change |
|
|
- 9 u |
+ 9 u |
After |
8 u |
3 u |
0 u |
14 u |
Amount that Harry had if Pierre gave him all his money
= 5 u + 9 u
= 14 u
Amount that Harry had more than Glen
= 14 u - 3 u
= 11 u
= 11 x 4
= $44
Answer(s): $44