three times as many children as adults attend a concert. Adult ticket cost $7 and childs ticket $3. the theater collected 46000. how many people bought tickets?
C= 3a
3c + 7a = 46000
To determine the number of adults and children who bought tickets, you need to set up a system of equations based on the given information.
Let's assume the number of adults attending the concert is 'x'. Since the number of children attending the concert is three times the number of adults, the number of children will be '3x'.
Now, let's calculate the total revenue generated by selling adult and child tickets.
The revenue from adult tickets is calculated by multiplying the number of adults (x) by the cost of an adult ticket ($7):
Revenue from adult tickets = x * $7
The revenue from child tickets is calculated by multiplying the number of children (3x) by the cost of a child ticket ($3):
Revenue from child tickets = 3x * $3
According to the given information, the sum of the revenue from adult and child tickets is $46,000:
Revenue from adult tickets + Revenue from child tickets = $46,000
Substituting the calculated revenue expressions into the equation:
x * $7 + 3x * $3 = $46,000
Now, solve for x to determine the number of adults attending the concert.