Question

A band sells tickets to a concert cost either $15 for adults or $10 for students. A total of 150 tickets are sold. If the band made $2000, how many of each ticket are sold? Write and solve a system to find how many adult tickets were sold.​

Answer 1

Number of adult tickets sold= 100

Explanation:

Giving the following information:

Adults tickets= $15

Student tickets= $10

Number of tickets sold= 150

Total sales= $2,000

First, we determine the systems of equations:

15*x + 10*y= 2,000

x + y = 150

x= number of adults tickets sold

y= number of students tickets sold

Now, we isolate x in one equation, and substitute it in the other one:

x= 150 - y

15*(150 - y) + 10y = 2,000

2,250 - 15y + 10y = 2,000

250 = 5y

50= y

x= 150 - 50

x= 100

Prove:

15*100 + 10*50= 2,000

100 + 50 = 150