Billy, Pierre, Gabriel and Caden bought a home theater system for their aunt. Billy paid
13 of what the rest paid. Pierre paid
15 of what the rest paid. Gabriel paid
16 of what the rest paid. Caden paid $64 more than Billy. How much did the home theater system cost?
| Billy |
Pierre |
Gabriel |
Caden |
Total |
| 1x21 |
|
|
|
4x21 |
| |
1x14 |
|
|
6x14 |
| |
|
1x12 |
|
7x12 |
| 21 u |
14 u |
12 u |
37 u |
84 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 7 is 84.
Amount that Caden had
= 84 u - (21 u + 14 u + 12 u)
= 37 u
Amount that Caden paid more than Billy
= 37 u - 21 u
= 16 u
16 u = 64
1 u = 64 ÷ 16 = 4
Cost of the home theater system
= 84 u
= 84 x 4
= $336
Answer(s): $336
