3 home theater systems and 4 washing machines cost a total of $1850. Each home theater system costs twice as much as each washing machine.
- What is the cost of each home theater system?
- What is the total cost of 1 home theater system and 1 washing machine?
(a)
Cost of 1 washing machine = 1 u
Cost of 1 home theater system = 2 x 1 u = 2 u
Cost of 4 washing machines = 4 x 1 u = 4 u
Cost of 3 home theater systems = 3 x 2 u = 6 u
Total cost of 3 home theater systems and 4 washing machines
= 6 u + 4 u
= 10 u
10 u = 1850
1 u = 1850 ÷ 10 = 185
Cost of each home theater system
= 2 u
= 2 x 185
= $370
(b)
Total cost of 1 home theater system and 1 washing machine
= 2 u + 1 u
= 3 u
= 3 x 185
= $555
Answer(s): (a) $370; (b) $555