Michael, Glen, Wesley and Tom bought a home theater system for their aunt. Michael paid
13 of what the rest paid. Glen paid
14 of what the rest paid. Wesley paid
15 of what the rest paid. Tom paid $32 more than Michael. How much did the home theater system cost?
Michael |
Glen |
Wesley |
Tom |
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 Tom had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Tom paid more than Michael
= 23 u - 15 u
= 8 u
8 u = 32
1 u = 32 ÷ 8 = 4
Cost of the home theater system
= 60 u
= 60 x 4
= $240
Answer(s): $240