4 home theater systems and 2 laptops cost a total of $2450. Each home theater system costs twice as much as each laptop.
- What is the cost of each home theater system?
- What is the total cost of 1 home theater system and 1 laptop?
(a)
Cost of 1 laptop = 1 u
Cost of 1 home theater system = 2 x 1 u = 2 u
Cost of 2 laptops = 2 x 1 u = 2 u
Cost of 4 home theater systems = 4 x 2 u = 8 u
Total cost of 4 home theater systems and 2 laptops
= 8 u + 2 u
= 10 u
10 u = 2450
1 u = 2450 ÷ 10 = 245
Cost of each home theater system
= 2 u
= 2 x 245
= $490
(b)
Total cost of 1 home theater system and 1 laptop
= 2 u + 1 u
= 3 u
= 3 x 245
= $735
Answer(s): (a) $490; (b) $735
