# A carnival manager counted 275 ticket receipts after the first day of the carnival. The price for an adult ticket was $11.50, and the price for a student ticket was $10. The total amount of money collected was $2,930. Let x represent the number of adult tickets and y represent the number of student tickets. Write the ordered pair, (x,y), that represents the ticket sales.

1 answer

###### Question:

A carnival manager counted 275 ticket receipts after the first day of the carnival. The price for an adult ticket was $11.50, and the price for a student ticket was $10. The total amount of money collected was $2,930. Let x represent the number of adult tickets and y represent the number of student tickets. Write the ordered pair, (x,y), that represents the ticket sales.

## Answers

Answer:The ordered pair that represents the ticket sales is (120,155).Step-by-step explanation:From the information given, you can write the following equations:x+y=275 (1)11.50x+10y=2,930 (2), where:x is the number of adult ticketsy is the number of student ticketsNow, you can solve for x in (1):x=275-y (3)Then, you can replace (3) in (2):11.50(275-y)+10y=2,9303,162.5-11.50y+10y=2,9303,162.5-2,930=11.50y-10y232.5=1.50yy=232.5/1.50y=155Finally, you can replace the value of y in (3) to find x:x=275-yx=275-155x=120According to this, the answer is that the ordered pair that represents the ticket sales is (120,155).

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