4 televisions and 2 home theater systems cost a total of $2920. Each television costs twice as much as each home theater system.
- What is the cost of each television?
- What is the total cost of 1 television and 1 home theater system?
(a)
Cost of 1 home theater system = 1 u
Cost of 1 television = 2 x 1 u = 2 u
Cost of 2 home theater systems = 2 x 1 u = 2 u
Cost of 4 televisions = 4 x 2 u = 8 u
Total cost of 4 televisions and 2 home theater systems
= 8 u + 2 u
= 10 u
10 u = 2920
1 u = 2920 ÷ 10 = 292
Cost of each television
= 2 u
= 2 x 292
= $584
(b)
Total cost of 1 television and 1 home theater system
= 2 u + 1 u
= 3 u
= 3 x 292
= $876
Answer(s): (a) $584; (b) $876
