The total cost of the home theater system, the speaker and the muffin maker is $360. The muffin maker costs twice as much as the speaker. The home theater system costs thrice as much as the total price of the muffin maker and speaker. How much less does the muffin maker cost than the home theater system?
Muffin Maker |
Speaker |
Home Theater System |
2 u |
1 u |
|
3 u |
9 u |
2 u |
1 u |
9 u |
Cost of the speaker = 1 u
Cost of the muffin maker = 2 u
Total cost of the speaker and the muffin maker
= 1 u + 2 u
= 3 u
Cost of the home theater system
= 3 x 3 u
= 9 u
Total cost of the muffin maker, the speaker and home theater system
= 9 u + 1 u + 2 u
= 12 u
12 u = 360
1 u = 360 ÷ 12 = 30
Amount that the muffin maker cost less than the home theater system
= 9 u - 2 u
= 7 u
= 7 x 30
= $210
Answer(s): $210