4 dishwashers and 3 computers cost a total of $2277. Each dishwasher costs twice as much as each computer.
- What is the cost of each dishwasher?
- What is the total cost of 1 dishwasher and 1 computer?
(a)
Cost of 1 computer = 1 u
Cost of 1 dishwasher = 2 x 1 u = 2 u
Cost of 3 computers = 3 x 1 u = 3 u
Cost of 4 dishwashers = 4 x 2 u = 8 u
Total cost of 4 dishwashers and 3 computers
= 8 u + 3 u
= 11 u
11 u = 2277
1 u = 2277 ÷ 11 = 207
Cost of each dishwasher
= 2 u
= 2 x 207
= $414
(b)
Total cost of 1 dishwasher and 1 computer
= 2 u + 1 u
= 3 u
= 3 x 207
= $621
Answer(s): (a) $414; (b) $621