# You are selling tickets to a concert. Student tickets cost $5 and adult cost $7. You sell 45 tickets and collect $265. How many of each type did you sell?

##### 1 Answer

See a solution process below:

**25**Adult Tickets were sold**20**Student Tickets were sold

#### Explanation:

First, let's call:

- The number of Adult Tickets sold:
#a# - The number of Student Tickets sold:
#s#

We can now write two equations from the information in the problem:

**Equation 1:**#a + s = 45# **Equation 2:**#$7a + $5s = $265#

**Step 1)** Solve the first equation for

**Step 2)** Substitute

**Step 3)** Substitute

**The Solution Is:**

**20**Adult Tickets were sold**25**Student Tickets were sold