Sam, Owen, Nick and Luke bought a home theater system for their aunt. Sam paid
13 of what the rest paid. Owen paid
14 of what the rest paid. Nick paid
16 of what the rest paid. Luke paid $220 more than Sam. How much did the home theater system cost?
Sam |
Owen |
Nick |
Luke |
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 Luke had
= 140 u - (35 u + 28 u + 20 u)
= 57 u
Amount that Luke paid more than Sam
= 57 u - 35 u
= 22 u
22 u = 220
1 u = 220 ÷ 22 = 10
Cost of the home theater system
= 140 u
= 140 x 10
= $1400
Answer(s): $1400