Lee, Dylan, Pierre and Ryan bought a portable air-conditioner for their aunt. Lee paid
13 of what the rest paid. Dylan paid
14 of what the rest paid. Pierre paid
15 of what the rest paid. Ryan paid $80 more than Lee. How much did the portable air-conditioner cost?
| Lee |
Dylan |
Pierre |
Ryan |
Total |
| 1x15 |
|
|
|
4x15 |
| |
1x12 |
|
|
5x12 |
| |
|
1x10 |
|
6x10 |
| 15 u |
12 u |
10 u |
23 u |
60 u |
The cost of the portable air-conditioner is repeated. Make the cost of the portable air-conditioner the same. LCM of 4, 5 and 6 is 60.
Amount that Ryan had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Ryan paid more than Lee
= 23 u - 15 u
= 8 u
8 u = 80
1 u = 80 ÷ 8 = 10
Cost of the portable air-conditioner
= 60 u
= 60 x 10
= $600
Answer(s): $600
