Bryan, Paul, Vaidev and Eric bought a washing machine for their aunt. Bryan paid
13 of what the rest paid. Paul paid
14 of what the rest paid. Vaidev paid
15 of what the rest paid. Eric paid $40 more than Bryan. How much did the washing machine cost?
Bryan |
Paul |
Vaidev |
Eric |
Total |
1x15 |
|
|
|
4x15 |
|
1x12 |
|
|
5x12 |
|
|
1x10 |
|
6x10 |
15 u |
12 u |
10 u |
23 u |
60 u |
The cost of the washing machine is repeated. Make the cost of the washing machine the same. LCM of 4, 5 and 6 is 60.
Amount that Eric had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Eric paid more than Bryan
= 23 u - 15 u
= 8 u
8 u = 40
1 u = 40 ÷ 8 = 5
Cost of the washing machine
= 60 u
= 60 x 5
= $300
Answer(s): $300