Ivan, Luke, David and Tom bought a television for their aunt. Ivan paid
13 of what the rest paid. Luke paid
14 of what the rest paid. David paid
16 of what the rest paid. Tom paid $132 more than Ivan. How much did the television cost?
Ivan |
Luke |
David |
Tom |
Total |
1x35 |
|
|
|
4x35 |
|
1x28 |
|
|
5x28 |
|
|
1x20 |
|
7x20 |
35 u |
28 u |
20 u |
57 u |
140 u |
The cost of the television is repeated. Make the cost of the television the same. LCM of 4, 5 and 7 is 140.
Amount that Tom had
= 140 u - (35 u + 28 u + 20 u)
= 57 u
Amount that Tom paid more than Ivan
= 57 u - 35 u
= 22 u
22 u = 132
1 u = 132 ÷ 22 = 6
Cost of the television
= 140 u
= 140 x 6
= $840
Answer(s): $840