Tickets to a local movie were sold at $5.00 for adults and $3.50 for students. If 340 tickets were sold for a total of $1535.00, how many adult tickets were sold?
If there were x adult tickets, then there were 340-x students. So,
5.00x + 3.50(340-x) = 1535.00
Now just solve for x...
If print 5800 per hour how many in 3 1/4 hour
Let's assume the number of adult tickets sold is "A" and the number of student tickets sold is "S".
According to the given information, the total number of tickets sold was 340:
A + S = 340
The cost of each adult ticket was $5.00, and the cost of each student ticket was $3.50. The total revenue from ticket sales was $1535.00:
5A + 3.50S = 1535
We can solve this system of equations to find the values of A and S. Let's use the substitution method:
From the first equation, we can express A in terms of S:
A = 340 - S
Substituting this value in the second equation, we have:
5(340 - S) + 3.50S = 1535
Simplifying, we get:
1700 - 5S + 3.50S = 1535
-1.5S = 1535 - 1700
-1.5S = -165
Solving for S, we have:
S = -165 / -1.5
S = 110
Now, substituting this value back into the first equation:
A + 110 = 340
A = 340 - 110
A = 230
Therefore, 230 adult tickets were sold.
To solve this problem, we can set up a system of equations representing the given information. Let's denote the number of adult tickets as "A" and the number of student tickets as "S".
We are told that the total number of tickets sold is 340, so our first equation is:
A + S = 340
We are also given that the total revenue from ticket sales is $1535.00. Since adult tickets cost $5.00 and student tickets cost $3.50, we can write our second equation as:
5A + 3.5S = 1535
Now we can solve this system of equations to find the values of A and S.
One way to solve this system is by substitution. Rearranging the first equation, we have:
A = 340 - S
Substituting this expression for A into the second equation, we have:
5(340 - S) + 3.5S = 1535
Expanding and simplifying, we have:
1700 - 5S + 3.5S = 1535
-1.5S = -165
S = 110
Substituting this value of S back into the first equation, we find:
A + 110 = 340
A = 230
Therefore, 230 adult tickets were sold.