Dylan, Flynn, Elijah and Vincent bought a home theater system for their aunt. Dylan paid
13 of what the rest paid. Flynn paid
15 of what the rest paid. Elijah paid
17 of what the rest paid. Vincent paid $40 more than Dylan. How much did the home theater system cost?
Dylan |
Flynn |
Elijah |
Vincent |
Total |
1x6 |
|
|
|
4x6 |
|
1x4 |
|
|
6x4 |
|
|
1x3 |
|
8x3 |
6 u |
4 u |
3 u |
11 u |
24 u |
The cost of the home theater system is repeated. Make the cost of the home theater system the same. LCM of 4, 6 and 8 is 24.
Amount that Vincent had
= 24 u - (6 u + 4 u + 3 u)
= 11 u
Amount that Vincent paid more than Dylan
= 11 u - 6 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
Cost of the home theater system
= 24 u
= 24 x 8
= $192
Answer(s): $192