Wesley, Gabriel, Glen and Reggie bought a home theater system for their aunt. Wesley paid
13 of what the rest paid. Gabriel paid
14 of what the rest paid. Glen paid
15 of what the rest paid. Reggie paid $48 more than Wesley. How much did the home theater system cost?
Wesley |
Gabriel |
Glen |
Reggie |
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 Reggie had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Reggie paid more than Wesley
= 23 u - 15 u
= 8 u
8 u = 48
1 u = 48 ÷ 8 = 6
Cost of the home theater system
= 60 u
= 60 x 6
= $360
Answer(s): $360