2 laptops and 5 home theater systems cost a total of $1935. Each laptop costs twice as much as each home theater system.
- What is the cost of each laptop?
- What is the total cost of 1 laptop and 1 home theater system?
(a)
Cost of 1 home theater system = 1 u
Cost of 1 laptop = 2 x 1 u = 2 u
Cost of 5 home theater systems = 5 x 1 u = 5 u
Cost of 2 laptops = 2 x 2 u = 4 u
Total cost of 2 laptops and 5 home theater systems
= 4 u + 5 u
= 9 u
9 u = 1935
1 u = 1935 ÷ 9 = 215
Cost of each laptop
= 2 u
= 2 x 215
= $430
(b)
Total cost of 1 laptop and 1 home theater system
= 2 u + 1 u
= 3 u
= 3 x 215
= $645
Answer(s): (a) $430; (b) $645
