Michael, Charlie, Owen and Warren bought a laptop for their aunt. Michael paid
13 of what the rest paid. Charlie paid
14 of what the rest paid. Owen paid
15 of what the rest paid. Warren paid $16 more than Michael. How much did the laptop cost?
| Michael |
Charlie |
Owen |
Warren |
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 Warren had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Warren paid more than Michael
= 23 u - 15 u
= 8 u
8 u = 16
1 u = 16 ÷ 8 = 2
Cost of the laptop
= 60 u
= 60 x 2
= $120
Answer(s): $120
