SOLUTION: hilton university drama club sold 311 tickets for a play. student tickets cost 50 cents each,nonstudent tickets cost $1.50. if total receipts were 385.50, find how many tickets of

Question 230267: hilton university drama club sold 311 tickets for a play. student tickets cost 50 cents each,nonstudent tickets cost $1.50. if total receipts were 385.50, find how many tickets of each type were sold.
how to set if up?
Answer by texttutoring(324) (Show Source): You can put this solution on YOUR website!
You need to have 2 equations with 2 variables.
Let x=Number of student tickets, y=Number of Non-student tickets
Equation 1: x+y=311
Equation 2: 0.50x + 1.50y = 385.50
To solve, I will use substitution by isolating for x in equation 1.
x = 311 - y
Substitute this into equation 2:
0.50(311-y) + 1.50y = 385.50
155.5 - 0.5y + 1.50y = 385.50
y=385.50 - 155.5
y=230
Find x by subbing y=230 into Equation 1:
x = 311 - 230
x = 81
The number of student tickets sold was 81, and non-student tickets was 230.
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