Sean, Vincent, Eric and Archie bought a home theater system for their aunt. Sean paid
13 of what the rest paid. Vincent paid
14 of what the rest paid. Eric paid
15 of what the rest paid. Archie paid $16 more than Sean. How much did the home theater system cost?
Sean |
Vincent |
Eric |
Archie |
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 Archie had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Archie paid more than Sean
= 23 u - 15 u
= 8 u
8 u = 16
1 u = 16 ÷ 8 = 2
Cost of the home theater system
= 60 u
= 60 x 2
= $120
Answer(s): $120