Zeph, Oscar, Charlie and Owen bought a dishwasher for their aunt. Zeph paid
13 of what the rest paid. Oscar paid
14 of what the rest paid. Charlie paid
16 of what the rest paid. Owen paid $88 more than Zeph. How much did the dishwasher cost?
| Zeph |
Oscar |
Charlie |
Owen |
Total |
| 1x35 |
|
|
|
4x35 |
| |
1x28 |
|
|
5x28 |
| |
|
1x20 |
|
7x20 |
| 35 u |
28 u |
20 u |
57 u |
140 u |
The cost of the dishwasher is repeated. Make the cost of the dishwasher the same. LCM of 4, 5 and 7 is 140.
Amount that Owen had
= 140 u - (35 u + 28 u + 20 u)
= 57 u
Amount that Owen paid more than Zeph
= 57 u - 35 u
= 22 u
22 u = 88
1 u = 88 ÷ 22 = 4
Cost of the dishwasher
= 140 u
= 140 x 4
= $560
Answer(s): $560
