2 home theater systems and 5 refrigerators cost a total of $2511. Each home theater system costs twice as much as each refrigerator.
- What is the cost of each home theater system?
- What is the total cost of 1 home theater system and 1 refrigerator?
(a)
Cost of 1 refrigerator = 1 u
Cost of 1 home theater system = 2 x 1 u = 2 u
Cost of 5 refrigerators = 5 x 1 u = 5 u
Cost of 2 home theater systems = 2 x 2 u = 4 u
Total cost of 2 home theater systems and 5 refrigerators
= 4 u + 5 u
= 9 u
9 u = 2511
1 u = 2511 ÷ 9 = 279
Cost of each home theater system
= 2 u
= 2 x 279
= $558
(b)
Total cost of 1 home theater system and 1 refrigerator
= 2 u + 1 u
= 3 u
= 3 x 279
= $837
Answer(s): (a) $558; (b) $837
