The total cost of the portable air-conditioner, the slow cooker and the speaker is $840. The speaker costs twice as much as the slow cooker. The portable air-conditioner costs thrice as much as the total price of the speaker and slow cooker. How much more does the speaker cost than the portable air-conditioner?
| Speaker |
Slow Cooker |
Portable Air-conditioner |
| 2 u |
1 u |
|
| 3 u |
9 u |
| 2 u |
1 u |
9 u |
Cost of the slow cooker = 1 u
Cost of the speaker = 2 u
Total cost of the slow cooker and the speaker
= 1 u + 2 u
= 3 u
Cost of the portable air-conditioner
= 3 x 3 u
= 9 u
Total cost of the speaker, the slow cooker and portable air-conditioner
= 9 u + 1 u + 2 u
= 12 u
12 u = 840
1 u = 840 ÷ 12 = 70
Amount that the portable air-conditioner cost more than the speaker
= 9 u - 2 u
= 7 u
= 7 x 70
= $490
Answer(s): $490
