2 portable air-conditioners and 3 home theater systems cost a total of $917. Each portable air-conditioner costs twice as much as each home theater system.
- What is the cost of each portable air-conditioner?
- What is the total cost of 1 portable air-conditioner and 1 home theater system?
(a)
Cost of 1 home theater system = 1 u
Cost of 1 portable air-conditioner = 2 x 1 u = 2 u
Cost of 3 home theater systems = 3 x 1 u = 3 u
Cost of 2 portable air-conditioners = 2 x 2 u = 4 u
Total cost of 2 portable air-conditioners and 3 home theater systems
= 4 u + 3 u
= 7 u
7 u = 917
1 u = 917 ÷ 7 = 131
Cost of each portable air-conditioner
= 2 u
= 2 x 131
= $262
(b)
Total cost of 1 portable air-conditioner and 1 home theater system
= 2 u + 1 u
= 3 u
= 3 x 131
= $393
Answer(s): (a) $262; (b) $393
