3 computers and 5 home theater systems cost a total of $2519. Each computer costs twice as much as each home theater system.
- What is the cost of each computer?
- What is the total cost of 1 computer and 1 home theater system?
(a)
Cost of 1 home theater system = 1 u
Cost of 1 computer = 2 x 1 u = 2 u
Cost of 5 home theater systems = 5 x 1 u = 5 u
Cost of 3 computers = 3 x 2 u = 6 u
Total cost of 3 computers and 5 home theater systems
= 6 u + 5 u
= 11 u
11 u = 2519
1 u = 2519 ÷ 11 = 229
Cost of each computer
= 2 u
= 2 x 229
= $458
(b)
Total cost of 1 computer and 1 home theater system
= 2 u + 1 u
= 3 u
= 3 x 229
= $687
Answer(s): (a) $458; (b) $687
