Will, Liam, Perry and Ben bought a portable air-conditioner for their aunt. Will paid
13 of what the rest paid. Liam paid
15 of what the rest paid. Perry paid
16 of what the rest paid. Ben paid $96 more than Will. How much did the portable air-conditioner cost?
Will |
Liam |
Perry |
Ben |
Total |
1x21 |
|
|
|
4x21 |
|
1x14 |
|
|
6x14 |
|
|
1x12 |
|
7x12 |
21 u |
14 u |
12 u |
37 u |
84 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 7 is 84.
Amount that Ben had
= 84 u - (21 u + 14 u + 12 u)
= 37 u
Amount that Ben paid more than Will
= 37 u - 21 u
= 16 u
16 u = 96
1 u = 96 ÷ 16 = 6
Cost of the portable air-conditioner
= 84 u
= 84 x 6
= $504
Answer(s): $504