Tim, Glen, Oliver and Perry shared $352. Perry received
35 of the total amount of money received by Tim, Glen and Oliver. Tim received
13 of the total amount for Glen and Oliver. Glen received
23 as much money as Oliver. If Glen gave all his money to Perry, how much did Perry have more than Tim in the end?
Tim |
Glen |
Oliver |
Perry |
Total |
5x4 |
3x4 |
8x4 |
1x5 |
3x5 |
|
|
|
2x3 |
3x3 |
|
|
5 u |
6 u |
9 u |
12 u |
32 u |
The total amount that Glen and Oliver have is repeated. Make the total amount of Glen and Oliver the same. LCM of 5 and 3 is 15.
The total amount that Tim, Glen and Oliver have is repeated. Make the total amount of Tim, Glen and Oliver the same. LCM of 20 and 5 is 20.
Total amount that Tim, Glen, Oliver and Perry shared = 32 u
32 u = 352
1 u = 352 ÷ 32 = 11
|
Tim |
Glen |
Oliver |
Perry |
Before |
5 u |
6 u |
9 u |
12 u |
Change |
|
- 6 u |
|
+ 6 u |
After |
5 u |
0 u |
9 u |
18 u |
Amount that Perry had if Glen gave him all his money
= 12 u + 6 u
= 18 u
Amount that Perry had more than Tim
= 18 u - 5 u
= 13 u
= 13 x 11
= $143
Answer(s): $143