Eric, Will, Albert and Mark bought a portable air-conditioner for their aunt. Eric paid
13 of what the rest paid. Will paid
15 of what the rest paid. Albert paid
16 of what the rest paid. Mark paid $32 more than Eric. How much did the portable air-conditioner cost?
| Eric |
Will |
Albert |
Mark |
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 Mark had
= 84 u - (21 u + 14 u + 12 u)
= 37 u
Amount that Mark paid more than Eric
= 37 u - 21 u
= 16 u
16 u = 32
1 u = 32 ÷ 16 = 2
Cost of the portable air-conditioner
= 84 u
= 84 x 2
= $168
Answer(s): $168
