2 home theater systems and 4 notebooks cost a total of $2650. Each home theater system costs thrice as much as each notebook.
- What is the cost of each home theater system?
- What is the total cost of 1 home theater system and 1 notebook?
(a)
Cost of 1 notebook = 1 u
Cost of 1 home theater system = 3 x 1 u = 3 u
Cost of 4 notebooks = 4 x 1 u = 4 u
Cost of 2 home theater systems = 2 x 3 u = 6 u
Total cost of 2 home theater systems and 4 notebooks
= 6 u + 4 u
= 10 u
10 u = 2650
1 u = 2650 ÷ 10 = 265
Cost of each home theater system
= 3 u
= 3 x 265
= $795
(b)
Total cost of 1 home theater system and 1 notebook
= 3 u + 1 u
= 4 u
= 4 x 265
= $1060
Answer(s): (a) $795; (b) $1060
