Fred, Will, Glen and Vincent bought a home theater system for their aunt. Fred paid
13 of what the rest paid. Will paid
14 of what the rest paid. Glen paid
16 of what the rest paid. Vincent paid $66 more than Fred. How much did the home theater system cost?
Fred |
Will |
Glen |
Vincent |
Total |
1x35 |
|
|
|
4x35 |
|
1x28 |
|
|
5x28 |
|
|
1x20 |
|
7x20 |
35 u |
28 u |
20 u |
57 u |
140 u |
The cost of the home theater system is repeated. Make the cost of the home theater system the same. LCM of 4, 5 and 7 is 140.
Amount that Vincent had
= 140 u - (35 u + 28 u + 20 u)
= 57 u
Amount that Vincent paid more than Fred
= 57 u - 35 u
= 22 u
22 u = 66
1 u = 66 ÷ 22 = 3
Cost of the home theater system
= 140 u
= 140 x 3
= $420
Answer(s): $420