Question 10 (Multiple Choice Worth 1 points) \( (05.02 \mathrm{MC}) \) At a student government fundraiser, a notebook costs \( \$ 7 \) and a t-shirt costs \( \$ 12 \). If the total received for 60 items was \( \$ 540 \), how many notebooks were sold?

To solve this problem, let's assign variables to the quantities. Let \( n \) represent the number of notebooks and \( t \) the number of t-shirts. We can set up the following system of equations based on the information provided: 1. The total number of items sold: \[ n + t = 60 \] 2. The total revenue from sales: \[ 7n + 12t = 540 \] Now, we can solve the system of equations. From the first equation, we can express \( t \) in terms of \( n \): \[ t = 60 - n \] Substituting this into the second equation gives us: \[ 7n + 12(60 - n) = 540 \] Expanding this: \[ 7n + 720 - 12n = 540 \] Combining like terms results in: \[ -5n + 720 = 540 \] Subtracting 720 from both sides: \[ -5n = -180 \] Dividing by -5: \[ n = 36 \] So, the number of notebooks sold is **36**. Using the earlier expression for \( t \): \[ t = 60 - 36 = 24 \] Thus, there were **24 t-shirts** sold as well.