Question 844167: For a Saturday matinee, adult tickets cost $7.50 and kids under 12 pay only $6.00. If 90 tickets are sold for a total of $600, how many of the tickets were adult tickets and how many were sold to kids under 12?
Answer by josgarithmetic(39615)   (Show Source):
You can put this solution on YOUR website! x = how many adult tickets
y = how many kid tickets
a = price for adult ticket, $7.50
k = price for kids tickets, $6.00
r = the revenue of ticket sales, $600
t = total number of tickets sold, 90
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The list of variables shows two unknown variables and those are what to solve for. The other variables are given constants.
ACCOUNT FOR TICKETS SOLD
ACCOUNT FOR THE REVENUE
In keeping with both equations expressed completely in variables, solve the system for x and y, either through substitution, through elimination, or as a matrix - whichever way you are most comfortable using or which way you know or prefer. When you have the solved formulas for x and y, use the known constants values and compute x and y.
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