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