Answer:
2 binders.
Step-by-step explanation:
Let's define our problem.
Let [tex]n[/tex] identify our notebooks and [tex]b[/tex] our binders, where [tex]p[/tex] is the price and [tex]q[/tex] is the quantity.
We know that the sum of the quantity of each good multiplied by its price should not exceed $16 and this can be expressed by the following equation:
[tex]p_{n} *q_{n}+p_{b}*q_{b}=16[/tex]
Now, which variables do we know?
We know that we bought 3 notebooks at $2 each, so: [tex]p_{n} =2 \\q_{n}=3[/tex]
On the other hand, we know that the binders cost $5 each, although we don't know how many we bought, so: [tex]p_{b} =5[/tex]
Substituting our known variables into our equation, we get:
[tex]2 *3+5*q_{b}=16[/tex]
For which we solve:
[tex]6+5*q_{b}=16[/tex]
Now you can use this equation to find the number of binders we bought, finding the value for the unknown variable.
[tex]6+5*q_{b} =16\\5*q_{b} =16-6\\5*q_{b} =10\\q_{b}=\frac{10}{5} \\q_{b}=2[/tex]
So, according to our equation, we bought 2 binders at the price of $5 each.
