Perry, Glen, Rael and George shared $224. George received
25 of the total amount of money received by Perry, Glen and Rael. Perry received
13 of the total amount for Glen and Rael. Glen received
23 as much money as Rael. If Rael gave all his money to George, how much did George have more than Glen in the end?
Perry |
Glen |
Rael |
George |
Total |
5x4 |
2x4 |
7x4 |
1x5 |
3x5 |
|
|
|
2x3 |
3x3 |
|
|
5 u |
6 u |
9 u |
8 u |
28 u |
The total amount that Glen and Rael have is repeated. Make the total amount of Glen and Rael the same. LCM of 5 and 3 is 15.
The total amount that Perry, Glen and Rael have is repeated. Make the total amount of Perry, Glen and Rael the same. LCM of 20 and 5 is 20.
Total amount that Perry, Glen, Rael and George shared = 28 u
28 u = 224
1 u = 224 ÷ 28 = 8
|
Perry |
Glen |
Rael |
George |
Before |
5 u |
6 u |
9 u |
8 u |
Change |
|
|
- 9 u |
+ 9 u |
After |
5 u |
6 u |
0 u |
17 u |
Amount that George had if Rael gave him all his money
= 8 u + 9 u
= 17 u
Amount that George had more than Glen
= 17 u - 6 u
= 11 u
= 11 x 8
= $88
Answer(s): $88