Cody, Luis, Jack and Glen bought a portable air-conditioner for their aunt. Cody paid
13 of what the rest paid. Luis paid
14 of what the rest paid. Jack paid
16 of what the rest paid. Glen paid $44 more than Cody. How much did the portable air-conditioner cost?
Cody |
Luis |
Jack |
Glen |
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 Glen had
= 140 u - (35 u + 28 u + 20 u)
= 57 u
Amount that Glen paid more than Cody
= 57 u - 35 u
= 22 u
22 u = 44
1 u = 44 ÷ 22 = 2
Cost of the portable air-conditioner
= 140 u
= 140 x 2
= $280
Answer(s): $280