Howard, Zane, Sean and Peter bought a portable air-conditioner for their aunt. Howard paid
13 of what the rest paid. Zane paid
15 of what the rest paid. Sean paid
17 of what the rest paid. Peter paid $15 more than Howard. How much did the portable air-conditioner cost?
Howard |
Zane |
Sean |
Peter |
Total |
1x6 |
|
|
|
4x6 |
|
1x4 |
|
|
6x4 |
|
|
1x3 |
|
8x3 |
6 u |
4 u |
3 u |
11 u |
24 u |
The cost of the portable air-conditioner is repeated. Make the cost of the portable air-conditioner the same. LCM of 4, 6 and 8 is 24.
Amount that Peter had
= 24 u - (6 u + 4 u + 3 u)
= 11 u
Amount that Peter paid more than Howard
= 11 u - 6 u
= 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Cost of the portable air-conditioner
= 24 u
= 24 x 3
= $72
Answer(s): $72