Question

You are selling tickets for a high school concert. Student tickets cost $3 and adult tickets cost $5. You sell 350 tickets and collect $1,450. How many of each type of ticket did you sell?

Answer 1

150 student tickets

200 adult tickets

Explanation:

We'll say student tix are x, adult are y

3x + 5y = $1450 and

x + y = 350

first, solve y in terms of x

y = 350 - x

Then substitute that into the equation to solve for x

3x + 5(350-x) = 1450

3x + 1750 - 5x = 1450

-2x = -300

x = 150

Substitute that value in to solve for y

x + y = 350

150 + y = 350

y = 200

Checking the math:

3(150) + 5 (200) = 450 + 1,000 = $1,450