The total cost of the portable air-conditioner, the slow cooker and the hand blender is $1200. The hand blender costs thrice as much as the slow cooker. The portable air-conditioner costs twice as much as the total price of the hand blender and slow cooker. How much less does the hand blender cost than the portable air-conditioner?
Hand Blender |
Slow Cooker |
Portable Air-conditioner |
3 u |
1 u |
|
4 u |
8 u |
3 u |
1 u |
8 u |
Cost of the slow cooker = 1 u
Cost of the hand blender = 3 u
Total cost of the slow cooker and the hand blender
= 1 u + 3 u
= 4 u
Cost of the portable air-conditioner
= 2 x 4 u
= 8 u
Total cost of the hand blender, the slow cooker and portable air-conditioner
= 8 u + 1 u + 3 u
= 12 u
12 u = 1200
1 u = 1200 ÷ 12 = 100
Amount that the hand blender cost less than the portable air-conditioner
= 8 u - 3 u
= 5 u
= 5 x 100
= $500
Answer(s): $500