3 portable air-conditioners and 2 laptops cost a total of $2112. Each portable air-conditioner costs thrice as much as each laptop.
- What is the cost of each portable air-conditioner?
- What is the total cost of 1 portable air-conditioner and 1 laptop?
(a)
Cost of 1 laptop = 1 u
Cost of 1 portable air-conditioner = 3 x 1 u = 3 u
Cost of 2 laptops = 2 x 1 u = 2 u
Cost of 3 portable air-conditioners = 3 x 3 u = 9 u
Total cost of 3 portable air-conditioners and 2 laptops
= 9 u + 2 u
= 11 u
11 u = 2112
1 u = 2112 ÷ 11 = 192
Cost of each portable air-conditioner
= 3 u
= 3 x 192
= $576
(b)
Total cost of 1 portable air-conditioner and 1 laptop
= 3 u + 1 u
= 4 u
= 4 x 192
= $768
Answer(s): (a) $576; (b) $768