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?
Do you mind telling me what kind of 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: