Bryan, Ryan, Reggie and Paul bought a home theater system for their aunt. Bryan paid
13 of what the rest paid. Ryan paid
14 of what the rest paid. Reggie paid
15 of what the rest paid. Paul paid $64 more than Bryan. How much did the home theater system cost?
| Bryan |
Ryan |
Reggie |
Paul |
Total |
| 1x15 |
|
|
|
4x15 |
| |
1x12 |
|
|
5x12 |
| |
|
1x10 |
|
6x10 |
| 15 u |
12 u |
10 u |
23 u |
60 u |
The cost of the home theater system is repeated. Make the cost of the home theater system the same. LCM of 4, 5 and 6 is 60.
Amount that Paul had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Paul paid more than Bryan
= 23 u - 15 u
= 8 u
8 u = 64
1 u = 64 ÷ 8 = 8
Cost of the home theater system
= 60 u
= 60 x 8
= $480
Answer(s): $480
