Wesley, Dylan, Peter and George bought a portable air-conditioner for their aunt. Wesley paid
13 of what the rest paid. Dylan paid
14 of what the rest paid. Peter paid
16 of what the rest paid. George paid $132 more than Wesley. How much did the portable air-conditioner cost?
Wesley |
Dylan |
Peter |
George |
Total |
1x35 |
|
|
|
4x35 |
|
1x28 |
|
|
5x28 |
|
|
1x20 |
|
7x20 |
35 u |
28 u |
20 u |
57 u |
140 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 7 is 140.
Amount that George had
= 140 u - (35 u + 28 u + 20 u)
= 57 u
Amount that George paid more than Wesley
= 57 u - 35 u
= 22 u
22 u = 132
1 u = 132 ÷ 22 = 6
Cost of the portable air-conditioner
= 140 u
= 140 x 6
= $840
Answer(s): $840