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