Valen, Howard, Gabriel and Lee bought a home theater system for their aunt. Valen paid
13 of what the rest paid. Howard paid
15 of what the rest paid. Gabriel paid
17 of what the rest paid. Lee paid $20 more than Valen. How much did the home theater system cost?
Valen |
Howard |
Gabriel |
Lee |
Total |
1x6 |
|
|
|
4x6 |
|
1x4 |
|
|
6x4 |
|
|
1x3 |
|
8x3 |
6 u |
4 u |
3 u |
11 u |
24 u |
The cost of the home theater system is repeated. Make the cost of the home theater system the same. LCM of 4, 6 and 8 is 24.
Amount that Lee had
= 24 u - (6 u + 4 u + 3 u)
= 11 u
Amount that Lee paid more than Valen
= 11 u - 6 u
= 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
Cost of the home theater system
= 24 u
= 24 x 4
= $96
Answer(s): $96