Answer:
The price of 1 adult ticket is 12 dollars, and the price of a ticket for one student is 7 dollars
Step-by-step explanation:
Make a system of equations for the two days that the play was shown.
Let x = the price of an adult ticket
Let y = the price of a student ticket
For the first day:
9x+8y=164
For the second day:
2x+7y=73
Now, we can solve using the elimination method. Multiply the first equation by 2 and the second equation by 9. Then swap the order of the equations.
18x+63y= 657
-
18x+16y= 328
0x+ 47y= 329
divide both sides by 47
y = 7
Plug in 7 for y for the 2nd equation
2x+7(7)=73
2x+49=73
subtract 49 from both sides
2x= 24
divide both sides by 2
x = 12
Check:
2(12)+7(7)=73
24+49= 73!
