Question

a school's chorus bought 30 tickets to a play. total cost of tickets $98. if student tickets cost $3 and each adult tickets cost $5, how many adults are going with the chorus?
thanks

Answer 1

It's a system of equations

Let's say that students = x,and that adults = y

Now let's construct the system of equations:

x + y = 30
3x + 5y = 98

Let's work by substitution with the first equation:

x = 30 - y

Lets the expression above in the second equation:

3(30-y)+5y=98

Now we solve for y:

90-3y+5y=98
-3y+5y=98-90
2y=8
y = 8/2
y = 4

So we said that y represent the number of adults, so we have 4 adults.

30-4= 26 students