3 portable air-conditioners and 4 televisions cost a total of $1650. Each portable air-conditioner costs twice as much as each television.
- What is the cost of each portable air-conditioner?
- What is the total cost of 1 portable air-conditioner and 1 television?
(a)
Cost of 1 television = 1 u
Cost of 1 portable air-conditioner = 2 x 1 u = 2 u
Cost of 4 televisions = 4 x 1 u = 4 u
Cost of 3 portable air-conditioners = 3 x 2 u = 6 u
Total cost of 3 portable air-conditioners and 4 televisions
= 6 u + 4 u
= 10 u
10 u = 1650
1 u = 1650 ÷ 10 = 165
Cost of each portable air-conditioner
= 2 u
= 2 x 165
= $330
(b)
Total cost of 1 portable air-conditioner and 1 television
= 2 u + 1 u
= 3 u
= 3 x 165
= $495
Answer(s): (a) $330; (b) $495
