John, Japheth, Justin and Lee bought a home theater system for their aunt. John paid
13 of what the rest paid. Japheth paid
14 of what the rest paid. Justin paid
15 of what the rest paid. Lee paid $48 more than John. How much did the home theater system cost?
John |
Japheth |
Justin |
Lee |
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 Lee had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Lee paid more than John
= 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