Omitted value: The price of children ticket was omitted in the question, so i used $8 to solve. You can input the correct value and solve the same way following the steps.

Answer: 100 adult tickets must be sold.

Step-by-step explanation:

step 1

let x represent Adults

AND y represent children

Since the theater seats 250 people we have that

x+y = 250..... equation 1

Also price for Adult ticket = $11

and price children ticket =$8

With total sales at $2,300, we have that

11x + 8y= 2300----- equation 2

Step 2

Making y subject in equation 1

' x+y = 250

y= 250-x

Putting y= 250- x in equation 2

11x + 8(250-x)= 2300

11x +2000-8x= 2300

11x -8x = 2300-2000

3x= 300

x 300/3

x= 100.

To find y

x+y = 250

100+y=250

y=250-100

y=150

Therefore 100 adult tickets and 150 children tickets must be sold to get a total sales of $2,300

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3 years ago