Adult tickets for the school musical sold for $3.00 and student tickets sold for $2.50. 124 tickets were sold altogether for $347.50.
Using the equations below, how many of each kind of ticket were sold?
a+s=124
3a+2.50s=347.50
Your responses should add up to 124 total tickets!
Let's solve the system of equations:
a + s = 124
3a + 2.50s = 347.50
Let's solve the first equation for a:
a = 124 - s
Now substitute that into the second equation:
3(124 - s) + 2.50s = 347.50
372 - 3s + 2.50s = 347.50
372 - 0.50s = 347.50
-0.50s = -24.50
s = 49
Now, substitute s back into the first equation to find a:
a = 124 - 49
a = 75
So, there were 75 adult tickets and 49 student tickets sold, which adds up to a total of 124 tickets.