Michael, John, Fred and Xavier bought a television for their aunt. Michael paid
13 of what the rest paid. John paid
14 of what the rest paid. Fred paid
15 of what the rest paid. Xavier paid $24 more than Michael. How much did the television cost?
Michael |
John |
Fred |
Xavier |
Total |
1x15 |
|
|
|
4x15 |
|
1x12 |
|
|
5x12 |
|
|
1x10 |
|
6x10 |
15 u |
12 u |
10 u |
23 u |
60 u |
The cost of the television is repeated. Make the cost of the television the same. LCM of 4, 5 and 6 is 60.
Amount that Xavier had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Xavier paid more than Michael
= 23 u - 15 u
= 8 u
8 u = 24
1 u = 24 ÷ 8 = 3
Cost of the television
= 60 u
= 60 x 3
= $180
Answer(s): $180