The total cost of the portable air-conditioner, the blender and the hand blender is $2000. The hand blender costs four times as much as the blender. The portable air-conditioner costs thrice as much as the total price of the hand blender and blender. How much less does the hand blender cost than the portable air-conditioner?
| Hand Blender |
Blender |
Portable Air-conditioner |
| 4 u |
1 u |
|
| 5 u |
15 u |
| 4 u |
1 u |
15 u |
Cost of the blender = 1 u
Cost of the hand blender = 4 u
Total cost of the blender and the hand blender
= 1 u + 4 u
= 5 u
Cost of the portable air-conditioner
= 3 x 5 u
= 15 u
Total cost of the hand blender, the blender and portable air-conditioner
= 15 u + 1 u + 4 u
= 20 u
20 u = 2000
1 u = 2000 ÷ 20 = 100
Amount that the hand blender cost less than the portable air-conditioner
= 15 u - 4 u
= 11 u
= 11 x 100
= $1100
Answer(s): $1100
