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