Glen, Wesley, Paul and Brandon bought a television for their aunt. Glen paid
13 of what the rest paid. Wesley paid
15 of what the rest paid. Paul paid
17 of what the rest paid. Brandon paid $30 more than Glen. How much did the television cost?
Glen |
Wesley |
Paul |
Brandon |
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 Brandon had
= 24 u - (6 u + 4 u + 3 u)
= 11 u
Amount that Brandon paid more than Glen
= 11 u - 6 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Cost of the television
= 24 u
= 24 x 6
= $144
Answer(s): $144