3 computers and 2 portable air-conditioners cost a total of $1408. Each computer costs twice as much as each portable air-conditioner.
- What is the cost of each computer?
- What is the total cost of 1 computer and 1 portable air-conditioner?
(a)
Cost of 1 portable air-conditioner = 1 u
Cost of 1 computer = 2 x 1 u = 2 u
Cost of 2 portable air-conditioners = 2 x 1 u = 2 u
Cost of 3 computers = 3 x 2 u = 6 u
Total cost of 3 computers and 2 portable air-conditioners
= 6 u + 2 u
= 8 u
8 u = 1408
1 u = 1408 ÷ 8 = 176
Cost of each computer
= 2 u
= 2 x 176
= $352
(b)
Total cost of 1 computer and 1 portable air-conditioner
= 2 u + 1 u
= 3 u
= 3 x 176
= $528
Answer(s): (a) $352; (b) $528