2 televisions and 5 portable air-conditioners cost a total of $2013. Each television costs thrice as much as each portable air-conditioner.
- What is the cost of each television?
- What is the total cost of 1 television and 1 portable air-conditioner?
(a)
Cost of 1 portable air-conditioner = 1 u
Cost of 1 television = 3 x 1 u = 3 u
Cost of 5 portable air-conditioners = 5 x 1 u = 5 u
Cost of 2 televisions = 2 x 3 u = 6 u
Total cost of 2 televisions and 5 portable air-conditioners
= 6 u + 5 u
= 11 u
11 u = 2013
1 u = 2013 ÷ 11 = 183
Cost of each television
= 3 u
= 3 x 183
= $549
(b)
Total cost of 1 television and 1 portable air-conditioner
= 3 u + 1 u
= 4 u
= 4 x 183
= $732
Answer(s): (a) $549; (b) $732
