SOLUTION: Of the 800 tickets sold to a movie, 480 were full priced tickets costing $3 each. If the gate receipts were $2,080, what did a student ticket cost?

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Question 107319This question is from textbook College Algebra
: Of the 800 tickets sold to a movie, 480 were full priced tickets costing $3 each. If the gate receipts were $2,080, what did a student ticket cost? This question is from textbook College Algebra

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=cost of a student ticket
Number of student tickets sold is 800-480=320
Now we are told that:
320*x+480*3=2080 or
320x+1440=2080 subtract 1440 from each side
320x+1440-1440=2080-1440 collect like terms
320x=640 divide both sides by 320
x=$2------------------------cost of a student ticket
CK
320*2+480*3=2080
640+1440=2080
2080=2080

Hope this helps----ptaylor