3 notebooks and 2 home theater systems cost a total of $1792. Each notebook costs twice as much as each home theater system.
- What is the cost of each notebook?
- What is the total cost of 1 notebook and 1 home theater system?
(a)
Cost of 1 home theater system = 1 u
Cost of 1 notebook = 2 x 1 u = 2 u
Cost of 2 home theater systems = 2 x 1 u = 2 u
Cost of 3 notebooks = 3 x 2 u = 6 u
Total cost of 3 notebooks and 2 home theater systems
= 6 u + 2 u
= 8 u
8 u = 1792
1 u = 1792 ÷ 8 = 224
Cost of each notebook
= 2 u
= 2 x 224
= $448
(b)
Total cost of 1 notebook and 1 home theater system
= 2 u + 1 u
= 3 u
= 3 x 224
= $672
Answer(s): (a) $448; (b) $672
