Question

You are selling tickets for your schools championship basketball game. You have $1584 at the end of the night and have sold a total of 412 tickets. An adult ticket costs $5 and a student ticket costs $3. How many adult tickets and how many student tickets were sold? Show your work.

Answer 1

Explanation:

x = number of adult tickets

y = number of student tickets

x + y = 412

x = 412 - y

5x + 3y = 1584

now, we use the first equation/ identity in the second equation and get

5(412 - y) + 3y = 1584

2060 - 5y + 3y = 1584

2060 - 2y = 1584

476 - 2y = 0

476 = 2y

y = 476/2 = 238

x = 412 - y = 412 - 238 = 174

so,

174 adult tickets and 238 student tickets were sold.