The total cost of the home theater system, the kettle and the hand blender is $600. The hand blender costs twice as much as the kettle. The home theater system costs thrice as much as the total price of the hand blender and kettle. How much less does the hand blender cost than the home theater system?
Hand Blender |
Kettle |
Home Theater System |
2 u |
1 u |
|
3 u |
9 u |
2 u |
1 u |
9 u |
Cost of the kettle = 1 u
Cost of the hand blender = 2 u
Total cost of the kettle and the hand blender
= 1 u + 2 u
= 3 u
Cost of the home theater system
= 3 x 3 u
= 9 u
Total cost of the hand blender, the kettle and home theater system
= 9 u + 1 u + 2 u
= 12 u
12 u = 600
1 u = 600 ÷ 12 = 50
Amount that the hand blender cost less than the home theater system
= 9 u - 2 u
= 7 u
= 7 x 50
= $350
Answer(s): $350