2 washing machines and 3 home theater systems cost a total of $791. Each washing machine costs twice as much as each home theater system.
- What is the cost of each washing machine?
- What is the total cost of 1 washing machine and 1 home theater system?
(a)
Cost of 1 home theater system = 1 u
Cost of 1 washing machine = 2 x 1 u = 2 u
Cost of 3 home theater systems = 3 x 1 u = 3 u
Cost of 2 washing machines = 2 x 2 u = 4 u
Total cost of 2 washing machines and 3 home theater systems
= 4 u + 3 u
= 7 u
7 u = 791
1 u = 791 ÷ 7 = 113
Cost of each washing machine
= 2 u
= 2 x 113
= $226
(b)
Total cost of 1 washing machine and 1 home theater system
= 2 u + 1 u
= 3 u
= 3 x 113
= $339
Answer(s): (a) $226; (b) $339