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

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.

in progress 0
Adela 1 year 2021-09-04T15:41:11+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-09-04T15:42:30+00:00

    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 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).

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )