David, Zane, Dylan and Paul bought a television for their aunt. David paid
13 of what the rest paid. Zane paid
15 of what the rest paid. Dylan paid
17 of what the rest paid. Paul paid $35 more than David. How much did the television cost?
| David |
Zane |
Dylan |
Paul |
Total |
| 1x6 |
|
|
|
4x6 |
| |
1x4 |
|
|
6x4 |
| |
|
1x3 |
|
8x3 |
| 6 u |
4 u |
3 u |
11 u |
24 u |
The cost of the television is repeated. Make the cost of the television the same. LCM of 4, 6 and 8 is 24.
Amount that Paul had
= 24 u - (6 u + 4 u + 3 u)
= 11 u
Amount that Paul paid more than David
= 11 u - 6 u
= 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
Cost of the television
= 24 u
= 24 x 7
= $168
Answer(s): $168
