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

The cost of a notebook is $1.25 and the cost of a binder is $3.20.

Step-by-step explanation:

To determine the cost of each item, we need to set up a system of equations:

Let's denote the cost of a notebook as x and the cost of a binder as y.

From the given information, we have the following equations:

1. 5x + 6y = 25.45
2. 4x + 8y = 30.60

We can solve this system of equations by elimination, substitution, or matrices. Let's solve it using elimination:

1. Multiply the first equation by 4 and the second equation by 5 to eliminate x.
   20x + 24y = 101.80
   20x + 40y = 153.00
2. Subtract the first equation from the second equation:
   16y = 51.20
   y = 3.20
3. Substitute the value of y into the first equation:
   5x + 6(3.20) = 25.45
   5x + 19.20 = 25.45
   5x = 6.25
   x = 1.25

Therefore, the cost of a notebook is $1.25 and the cost of a binder is $3.20.

Answer 2

Step-by-step explanation:

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