Oliver, Zane, Dylan and Peter bought a washing machine for their aunt. Oliver paid
13 of what the rest paid. Zane paid
14 of what the rest paid. Dylan paid
15 of what the rest paid. Peter paid $16 more than Oliver. How much did the washing machine cost?
| Oliver |
Zane |
Dylan |
Peter |
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 Peter had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Peter paid more than Oliver
= 23 u - 15 u
= 8 u
8 u = 16
1 u = 16 ÷ 8 = 2
Cost of the washing machine
= 60 u
= 60 x 2
= $120
Answer(s): $120
