SOLUTION: A concert manager counted 700 ticket receipts the day after a concert. The price for a student ticket was $11.50, and the price for an adult ticket was $18.00. The register confirm
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Question 1154478: A concert manager counted 700 ticket receipts the day after a concert. The price for a student ticket was $11.50, and the price for an adult ticket was $18.00. The register confirms that $10,812.50 was taken in. How many student tickets and adult tickets were sold? Answer by ikleyn(52781) (Show Source):
Let x = # of adult tickets; then the # of student tickets = 700-x.
The total money equation is
18*x + 11.50*(700-x) = 10812.50 dollars.
From the equation
x = = 425.
ANSWER. 425 adult tickets, and the rest, 700-425 = 275 student tickets.
CHECK. 425*18 + 275*11.50 = 10,812.50 dollars, in total. ! Precisely correct !