The total cost of the dishwasher, the kettle and the stand mixer is $240. The stand mixer costs twice as much as the kettle. The dishwasher costs thrice as much as the total price of the stand mixer and kettle. How much less does the stand mixer cost than the dishwasher?
| Stand Mixer |
Kettle |
Dishwasher |
| 2 u |
1 u |
|
| 3 u |
9 u |
| 2 u |
1 u |
9 u |
Cost of the kettle = 1 u
Cost of the stand mixer = 2 u
Total cost of the kettle and the stand mixer
= 1 u + 2 u
= 3 u
Cost of the dishwasher
= 3 x 3 u
= 9 u
Total cost of the stand mixer, the kettle and dishwasher
= 9 u + 1 u + 2 u
= 12 u
12 u = 240
1 u = 240 ÷ 12 = 20
Amount that the stand mixer cost less than the dishwasher
= 9 u - 2 u
= 7 u
= 7 x 20
= $140
Answer(s): $140
