The total cost of the home theater system, the deep fryer and the speaker is $600. The speaker costs four times as much as the deep fryer. The home theater system costs twice as much as the total price of the speaker and deep fryer. How much more does the speaker cost than the home theater system?
| Speaker |
Deep Fryer |
Home Theater System |
| 4 u |
1 u |
|
| 5 u |
10 u |
| 4 u |
1 u |
10 u |
Cost of the deep fryer = 1 u
Cost of the speaker = 4 u
Total cost of the deep fryer and the speaker
= 1 u + 4 u
= 5 u
Cost of the home theater system
= 2 x 5 u
= 10 u
Total cost of the speaker, the deep fryer and home theater system
= 10 u + 1 u + 4 u
= 15 u
15 u = 600
1 u = 600 ÷ 15 = 40
Amount that the home theater system cost more than the speaker
= 10 u - 4 u
= 6 u
= 6 x 40
= $240
Answer(s): $240
