Mark, Caden, Andy and Peter bought a television for their aunt. Mark paid
13 of what the rest paid. Caden paid
15 of what the rest paid. Andy paid
16 of what the rest paid. Peter paid $112 more than Mark. How much did the television cost?
| Mark |
Caden |
Andy |
Peter |
Total |
| 1x21 |
|
|
|
4x21 |
| |
1x14 |
|
|
6x14 |
| |
|
1x12 |
|
7x12 |
| 21 u |
14 u |
12 u |
37 u |
84 u |
The cost of the television is repeated. Make the cost of the television the same. LCM of 4, 6 and 7 is 84.
Amount that Peter had
= 84 u - (21 u + 14 u + 12 u)
= 37 u
Amount that Peter paid more than Mark
= 37 u - 21 u
= 16 u
16 u = 112
1 u = 112 ÷ 16 = 7
Cost of the television
= 84 u
= 84 x 7
= $588
Answer(s): $588
