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?
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:
