Peter, Tim, Caden and Dylan bought a home theater system for their aunt. Peter paid
13 of what the rest paid. Tim paid
14 of what the rest paid. Caden paid
16 of what the rest paid. Dylan paid $44 more than Peter. How much did the home theater system cost?
Peter |
Tim |
Caden |
Dylan |
Total |
1x35 |
|
|
|
4x35 |
|
1x28 |
|
|
5x28 |
|
|
1x20 |
|
7x20 |
35 u |
28 u |
20 u |
57 u |
140 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 7 is 140.
Amount that Dylan had
= 140 u - (35 u + 28 u + 20 u)
= 57 u
Amount that Dylan paid more than Peter
= 57 u - 35 u
= 22 u
22 u = 44
1 u = 44 ÷ 22 = 2
Cost of the home theater system
= 140 u
= 140 x 2
= $280
Answer(s): $280