Tommy, George, Dylan and Gabriel bought a computer for their aunt. Tommy paid
13 of what the rest paid. George paid
14 of what the rest paid. Dylan paid
15 of what the rest paid. Gabriel paid $48 more than Tommy. How much did the computer cost?
Tommy |
George |
Dylan |
Gabriel |
Total |
1x15 |
|
|
|
4x15 |
|
1x12 |
|
|
5x12 |
|
|
1x10 |
|
6x10 |
15 u |
12 u |
10 u |
23 u |
60 u |
The cost of the computer is repeated. Make the cost of the computer the same. LCM of 4, 5 and 6 is 60.
Amount that Gabriel had
= 60 u - (15 u + 12 u + 10 u)
= 23 u
Amount that Gabriel paid more than Tommy
= 23 u - 15 u
= 8 u
8 u = 48
1 u = 48 ÷ 8 = 6
Cost of the computer
= 60 u
= 60 x 6
= $360
Answer(s): $360