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