Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

12
intent attribution
QUESTION 5 1 POINT
.
Tickets for a basketball game cost $3 for students and $5 for adults. The number of students was 11 less than 8 times
number of adults. The total amount of money from ticket sales was $895. How many of each ticket were sold?
Provide your answer below:
adult tickets,
FEEDI
student tickets

Sagot :

sqdancefan

Answer:

  • 32 adult
  • 245 student

Step-by-step explanation:

The given relations between numbers and prices can be used to write a system of equations for the number of each kind of ticket. One equation will describe ticket numbers; the other will describe ticket revenue.

Setup

Let x represent the number of adult tickets, and y the number of student tickets. The given relations can be written as the general-form equations ...

  8x -y -11 = 0 . . . . . . . . . ticket numbers

  5x +3y -895 = 0 . . . . . ticket revenue

Solution

The setup using general form equations lends itself to solution using the "cross multiplication method." Using this method, we define three numbers used in the solution:

  Δ = 8(3) -5(-1) = 24 +5 = 29

  Δx = -1(-895) -3(-11) = 895 +33 = 928

  Δy = -11(5) -(-895)(8) = -55 +7160 = 7105

And the solutions are ...

  x = Δx/Δ = 928/29 = 32

  y = Δy/Δ = 7105/29 = 245

32 adult tickets and 245 student tickets were sold.

__

For more about the Cross Multiplication Method, see ...

https://brainly.com/question/26397343

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.