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A school is putting on a play. On the first night of the play, twice as many adults attended the play as students. Students tickets cost $3 and adults tickets cost $5. The total amount of money earned from tickets sales was $1,131.  How many student tickets were sold?

 Mar 18, 2020
 #1
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Do you mind telling me what kind of problem?

 Mar 18, 2020
 #2
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Same dude here... almost done

Guest Mar 18, 2020
 #3
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Similiar Problem:

 

Figure out what you have and what you need, then set up the equation.

You have 870 dollars total for all seats sold:

You have main floor seats sold at 11 dollars a piece.

You have balcony seats sold at 7 dollars a piece.

Now you need to know how many of each were sold.

You have 2 times as many floor seats sold than balcony seats, so we say:

 

Let x = balcony seats sold

Let 2x = floor seats sold

 

Set up the equation:

 

x(7) + 2x(11) = 870

7x + 22x = 870

29x = 870

x = 30 ; This is the amount of balcony seats:

2x = 60 ; This is the amount of floor seats:

 Mar 18, 2020
 #4
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x(3)+2x(5)=1131

3x+10x=1131

13x=1131

x=87

2x=174

 

174 adults+ 87 students= $1131

87(3)+174(5)=$1131

261+870=$1131

$1131=$1131

Guest Mar 19, 2020

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