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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.

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

https://brainly.com/question/26397343

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