Question

Eddie and Janice are buying school supplies. Eddie buys 5 notebooks and 6 binders for a total of $25.45. Janice buys 4 notebooks and 8 binders for $30.60. What is the cost of each item?

Answer 1

Notebook $1.25

Binder $3.20

Explanation:

5n + 6b = 25.45

4n + 8b = 30.6

Multiply the first equation by -4.

Multiply the second equation by 5.

Add the equations.

-20n - 24b = -101.8

20n + 40b = 153

16b = 51.2

b = 3.2

5n + 6(3.2) = 25.45

5n + 19.2 = 25.45

5n = 6.25

n = 1.25

Answer:

Notebook $1.25

Binder $3.20