The total cost of the dishwasher, the water heater and the hand blender is $600. The hand blender costs four times as much as the water heater. The dishwasher costs thrice as much as the total price of the hand blender and water heater. How much more does the hand blender cost than the dishwasher?
| Hand Blender |
Water Heater |
Dishwasher |
| 4 u |
1 u |
|
| 5 u |
15 u |
| 4 u |
1 u |
15 u |
Cost of the water heater = 1 u
Cost of the hand blender = 4 u
Total cost of the water heater and the hand blender
= 1 u + 4 u
= 5 u
Cost of the dishwasher
= 3 x 5 u
= 15 u
Total cost of the hand blender, the water heater and dishwasher
= 15 u + 1 u + 4 u
= 20 u
20 u = 600
1 u = 600 ÷ 20 = 30
Amount that the dishwasher cost more than the hand blender
= 15 u - 4 u
= 11 u
= 11 x 30
= $330
Answer(s): $330
