SOLUTION: For a Saturday matinee, adult tickets cost $7.00 and kids under 12 pay only $4.50. If 79 tickets are sold for a total of $428.00, how many of the tickets were adult tickets and how

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Question 1162085: For a Saturday matinee, adult tickets cost $7.00 and kids under 12 pay only $4.50. If 79 tickets are sold for a total of $428.00, how many of the tickets were adult tickets and how many were sold to kids under 12?
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
A=x
C=79-x
7x+4.50(79-x)=428
7x+355.50-4.50x=428
2.5x=72.50
x=29 adult tickets ($203)
79-x=50 child tickets ($225)

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the number of adult tickets.

Then the number of the kid tickets is (79-x).


You then write this money equation for the total


    7*x + 4.50*(79-x) = 428   dollars.


From the equation,  x = %28428-4.50%2A79%29%2F%287-4.50%29 = 29.


ANSWER.  29 adult tickets and the rest,  79-29 = 50 kid tickets.


CHECK.  29*7 + 50*4.50 = 428 dollars.   ! Precisely correct !

Solved.