Peter, Luis, Gabriel and Sam bought a laptop for their aunt. Peter paid
13 of what the rest paid. Luis paid
15 of what the rest paid. Gabriel paid
17 of what the rest paid. Sam paid $50 more than Peter. How much did the laptop cost?
Peter |
Luis |
Gabriel |
Sam |
Total |
1x6 |
|
|
|
4x6 |
|
1x4 |
|
|
6x4 |
|
|
1x3 |
|
8x3 |
6 u |
4 u |
3 u |
11 u |
24 u |
The cost of the laptop is repeated. Make the cost of the laptop the same. LCM of 4, 6 and 8 is 24.
Amount that Sam had
= 24 u - (6 u + 4 u + 3 u)
= 11 u
Amount that Sam paid more than Peter
= 11 u - 6 u
= 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Cost of the laptop
= 24 u
= 24 x 10
= $240
Answer(s): $240