3 home theater systems and 5 notebooks cost a total of $1639. Each home theater system costs twice 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 = 2 x 1 u = 2 u
Cost of 5 notebooks = 5 x 1 u = 5 u
Cost of 3 home theater systems = 3 x 2 u = 6 u
Total cost of 3 home theater systems and 5 notebooks
= 6 u + 5 u
= 11 u
11 u = 1639
1 u = 1639 ÷ 11 = 149
Cost of each home theater system
= 2 u
= 2 x 149
= $298
(b)
Total cost of 1 home theater system and 1 notebook
= 2 u + 1 u
= 3 u
= 3 x 149
= $447
Answer(s): (a) $298; (b) $447
