Question

Tickets to a spring concert are $5.00 for students and $8.00 for adults. 250 tickets to the concert were sold for a total of $1550. How many tickets adult tickets and how many student tickets were sold?

Answer 1

100 adult tickets

150 students tickets

Explanation:

First, construct an equation that relates the tickets.

For the first equation, 5x represents $5 per ticket for students and 8y represents $8 per ticket for adult, showing the money earned.

For the second equation, x represents student tickets and y represents adult tickets, showing the tickets sold.

`5x+8y=1550\\x+y=250\\`

Then, you have to cancel out similar factors. I will multiply the second equation by -5 because that is the easiest option for this specific case.

`-5(x+y=250)\\-5x-5y=-1250\\5x+8y=1550\\3y=300\\y=100`

We have solved for y, which is how many adult tickets were sold. To solve for student tickets, we will solve the second equation.

`x+y=250\\x+100=250\\x=150`

As a result we have 100 adult tickets and 150 student tickets.

Hope this helps!! <3