Tim, Lee, Michael and Albert bought a washing machine for their aunt. Tim paid
13 of what the rest paid. Lee paid
14 of what the rest paid. Michael paid
15 of what the rest paid. Albert paid $72 more than Tim. How much did the washing machine cost?
| Tim |
Lee |
Michael |
Albert |
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 Albert had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Albert paid more than Tim
= 23 u - 15 u
= 8 u
8 u = 72
1 u = 72 ÷ 8 = 9
Cost of the washing machine
= 60 u
= 60 x 9
= $540
Answer(s): $540
