Answer:
Number of adult tickets sold= 100
Step-by-step 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
