Peter, Luke, Warren and Wesley bought a laptop for their aunt. Peter paid
13 of what the rest paid. Luke paid
14 of what the rest paid. Warren paid
15 of what the rest paid. Wesley paid $32 more than Peter. How much did the laptop cost?
| Peter |
Luke |
Warren |
Wesley |
Total |
| 1x15 |
|
|
|
4x15 |
| |
1x12 |
|
|
5x12 |
| |
|
1x10 |
|
6x10 |
| 15 u |
12 u |
10 u |
23 u |
60 u |
The cost of the laptop is repeated. Make the cost of the laptop the same. LCM of 4, 5 and 6 is 60.
Amount that Wesley had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Wesley paid more than Peter
= 23 u - 15 u
= 8 u
8 u = 32
1 u = 32 ÷ 8 = 4
Cost of the laptop
= 60 u
= 60 x 4
= $240
Answer(s): $240
