The total cost of the home theater system, the juicer and the kettle is $480. The kettle costs twice as much as the juicer. The home theater system costs thrice as much as the total price of the kettle and juicer. How much less does the kettle cost than the home theater system?
Kettle |
Juicer |
Home Theater System |
2 u |
1 u |
|
3 u |
9 u |
2 u |
1 u |
9 u |
Cost of the juicer = 1 u
Cost of the kettle = 2 u
Total cost of the juicer and the kettle
= 1 u + 2 u
= 3 u
Cost of the home theater system
= 3 x 3 u
= 9 u
Total cost of the kettle, the juicer and home theater system
= 9 u + 1 u + 2 u
= 12 u
12 u = 480
1 u = 480 ÷ 12 = 40
Amount that the kettle cost less than the home theater system
= 9 u - 2 u
= 7 u
= 7 x 40
= $280
Answer(s): $280