A local high school sells 452 tickets for a basketball game. Student tickets cost $0.75 each and non-student tickets cost $2.00 each. If a total of $492 was raised from the sale of the tickets, how many of each ticket were sold? X=student y=non x=452-y 452=x+y 492=0.75(452-y)+2y 492=0.75x+2y 492=339-0.75y+2y 153/1.25=1.25y/1.25
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Define variables: Let's use X to represent the number of student tickets sold and Y to represent the number of non-student tickets sold. Show more…
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A concert manager counted 350 ticket receipts the day after a concert. The price for the student ticket was $12.50, and the price for the adult ticket was $16. The register confirms that $5,075 was taken in. Using this information, we can construct a system of equations to determine the number of student and adult tickets that were sold for the concert. Let s = the number of student tickets sold and a = the number of adult tickets sold. We know that the total number of tickets sold was 350. Therefore, s+a = 350. 12.50s = the amount of money taken in from student tickets 16a = the amount of money taken in from adult tickets 12.50 + 16a = the total amount of money taken in We can write our system of equations as: (1) s+a = 350 (2) 12.50s+16a = 5075 Using the system of equations above, and the substitution method for solving the system, determine the number of student and adult tickets sold. Show your work.
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A concert manager counted 350 ticket receipts the day after a concert. The price for the student ticket was $12.50, and the price for the adult ticket was $16. The register confirms that $5,075 was taken in. Using this information, we can construct a system of equations to determine the number of student and adult tickets that were sold for the concert. Let s = the number of student tickets sold and a = the number of adult tickets sold. We know that the total number of tickets sold was 350. Therefore, s+a = 350. 12.50s = the amount of money taken in from student tickets 16a = the amount of money taken in from adult tickets 12.50 + 16a = the total amount of money taken in We can write our system of equations as: (1) s+a = 350 (2) 12.50s+16a = 5075 Using the system of equations above and the addition method for solving systems of equations, determine the number of student and adult tickets sold. Show your work.
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