Reggie, Julian, Jeremy and Paul bought a portable air-conditioner for their aunt. Reggie paid
13 of what the rest paid. Julian paid
15 of what the rest paid. Jeremy paid
16 of what the rest paid. Paul paid $128 more than Reggie. How much did the portable air-conditioner cost?
| Reggie |
Julian |
Jeremy |
Paul |
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 Paul had
= 84 u - (21 u + 14 u + 12 u)
= 37 u
Amount that Paul paid more than Reggie
= 37 u - 21 u
= 16 u
16 u = 128
1 u = 128 ÷ 16 = 8
Cost of the portable air-conditioner
= 84 u
= 84 x 8
= $672
Answer(s): $672
