The total cost of the home theater system, the lamp and the deep fryer is $1200. The deep fryer costs four times as much as the lamp. The home theater system costs twice as much as the total price of the deep fryer and lamp. How much more does the deep fryer cost than the home theater system?
Deep Fryer |
Lamp |
Home Theater System |
4 u |
1 u |
|
5 u |
10 u |
4 u |
1 u |
10 u |
Cost of the lamp = 1 u
Cost of the deep fryer = 4 u
Total cost of the lamp and the deep fryer
= 1 u + 4 u
= 5 u
Cost of the home theater system
= 2 x 5 u
= 10 u
Total cost of the deep fryer, the lamp and home theater system
= 10 u + 1 u + 4 u
= 15 u
15 u = 1200
1 u = 1200 ÷ 15 = 80
Amount that the home theater system cost more than the deep fryer
= 10 u - 4 u
= 6 u
= 6 x 80
= $480
Answer(s): $480