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.

Answer 1

The ordered pair that represents the ticket sales is (120,155).

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 tickets

y is the number of student tickets

Now, you can solve for x in (1):

x=275-y (3)

Then, you can replace (3) in (2):

11.50(275-y)+10y=2,930

3,162.5-11.50y+10y=2,930

3,162.5-2,930=11.50y-10y

232.5=1.50y

y=232.5/1.50

y=155

Finally, you can replace the value of y in (3) to find x:

x=275-y

x=275-155

x=120

According to this, the answer is that the ordered pair that represents the ticket sales is (120,155).