The total cost of the home theater system, the stand mixer and the juicer is $960. The juicer costs thrice as much as the stand mixer. The home theater system costs twice as much as the total price of the juicer and stand mixer. How much less does the juicer cost than the home theater system?
| Juicer |
Stand Mixer |
Home Theater System |
| 3 u |
1 u |
|
| 4 u |
8 u |
| 3 u |
1 u |
8 u |
Cost of the stand mixer = 1 u
Cost of the juicer = 3 u
Total cost of the stand mixer and the juicer
= 1 u + 3 u
= 4 u
Cost of the home theater system
= 2 x 4 u
= 8 u
Total cost of the juicer, the stand mixer and home theater system
= 8 u + 1 u + 3 u
= 12 u
12 u = 960
1 u = 960 ÷ 12 = 80
Amount that the juicer cost less than the home theater system
= 8 u - 3 u
= 5 u
= 5 x 80
= $400
Answer(s): $400
