Ethan, Tommy, Vaidev and Sean bought a home theater system for their aunt. Ethan paid
13 of what the rest paid. Tommy paid
15 of what the rest paid. Vaidev paid
17 of what the rest paid. Sean paid $10 more than Ethan. How much did the home theater system cost?
Ethan |
Tommy |
Vaidev |
Sean |
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 Sean had
= 24 u - (6 u + 4 u + 3 u)
= 11 u
Amount that Sean paid more than Ethan
= 11 u - 6 u
= 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Cost of the home theater system
= 24 u
= 24 x 2
= $48
Answer(s): $48