Pierre, John, Brandon and Fabian bought a portable air-conditioner for their aunt. Pierre paid
13 of what the rest paid. John paid
14 of what the rest paid. Brandon paid
15 of what the rest paid. Fabian paid $64 more than Pierre. How much did the portable air-conditioner cost?
Pierre |
John |
Brandon |
Fabian |
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 Fabian had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Fabian paid more than Pierre
= 23 u - 15 u
= 8 u
8 u = 64
1 u = 64 ÷ 8 = 8
Cost of the portable air-conditioner
= 60 u
= 60 x 8
= $480
Answer(s): $480