Question 10 (Multiple Choice Worth 1 points)

At a student government fundraiser, a notebook costs and a t-shirt costs . If the total received for 60 items was , how many notebooks were sold?

To solve this problem, let’s assign variables to the quantities. Let represent the number of notebooks and the number of t-shirts. We can set up the following system of equations based on the information provided:

Now, we can solve the system of equations. From the first equation, we can express in terms of :

Substituting this into the second equation gives us:

Expanding this:

Combining like terms results in:

Subtracting 720 from both sides:

Dividing by -5:

So, the number of notebooks sold is 36.

Using the earlier expression for :

Thus, there were 24 t-shirts sold as well.