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! (If you isolate a or s in the first equation, you can use substitution to solve.)

Answer 1

Let's isolate a in the first equation:

a + s = 124
a = 124 - s

Now substitute this 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 plug s back into the first equation to solve for a:

a + 49 = 124
a = 75

Therefore, 75 adult tickets and 49 student tickets were sold, which adds up to a total of 124 tickets.