The number of students attending the fall play was 150 more than the number of adults attending.
Students tickets cost $3, and adults $5. A total of $4730 was collected. How many students attended the play?
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Number of students = S
Number of adults = A
then
3S+5A = 4730
S-A = 150
Solve for S and A.
Let's assume the number of adults attending the play is 'x'.
According to the given information, the number of students attending the play would be 'x + 150' since it is 150 more than the number of adults attending.
Now, we can calculate the total revenue collected as follows:
Revenue from student tickets = (number of students) * (price of student ticket)
= (x + 150) * 3
Revenue from adult tickets = (number of adults) * (price of adult ticket)
= x * 5
Since the total revenue collected is $4730, we can set up the equation:
(x + 150) * 3 + x * 5 = 4730
Simplifying the equation:
3x + 450 + 5x = 4730
8x + 450 = 4730
8x = 4730 - 450
8x = 4280
x = 4280 / 8
x = 535
Therefore, the number of adults attending the play is 535.
Now, we can calculate the number of students attending the play:
Number of students = number of adults + 150
= 535 + 150
= 685
Therefore, there were 685 students attending the play.
To find the number of students attending the fall play, let's assume that the number of adults attending is "x."
Therefore, the number of students attending would be "x + 150," as it is 150 more than the number of adults attending.
Now, let's calculate the total amount collected from the ticket sales.
The number of student tickets sold multiplied by the ticket price is equal to the amount collected from student attendance: $3 * (x + 150).
Similarly, the number of adult tickets sold multiplied by the ticket price is equal to the amount collected from adult attendance: $5 * x.
According to the problem, the total amount collected is $4730. So, we can form the equation:
$3 * (x + 150) + $5 * x = $4730
Now, let's solve for x to find the number of adults attending:
$3x + $150 * 3 + $5x = $4730
$3x + $450 + $5x = $4730
$8x + $450 = $4730
$8x = $4730 - $450
$8x = $4280
Dividing both sides of the equation by 8, we get:
x = $4280 / $8
x = 535
So, the number of adults attending the play is 535.
To find the number of students attending:
Number of students = x + 150
Number of students = 535 + 150
Number of students = 685
Therefore, 685 students attended the play.