Zeph, Eric, Flynn and Jack bought a television for their aunt. Zeph paid
13 of what the rest paid. Eric paid
14 of what the rest paid. Flynn paid
16 of what the rest paid. Jack paid $198 more than Zeph. How much did the television cost?
Zeph |
Eric |
Flynn |
Jack |
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 Jack had
= 140 u - (35 u + 28 u + 20 u)
= 57 u
Amount that Jack paid more than Zeph
= 57 u - 35 u
= 22 u
22 u = 198
1 u = 198 ÷ 22 = 9
Cost of the television
= 140 u
= 140 x 9
= $1260
Answer(s): $1260