three times as many children as adults attended a concert on Saturday. an adults ticket cost $7 and a child's ticket cost $3. the theater collected a total of $6,000. how many people bought tickets?
Please stop spamming this forum. I've already removed two of your identical posts. You just slow things up by multiple postings.
sorry but im not getting an answer
Please have patience. We are human beings -- volunteers -- who help students when we have some spare time.
I can't help you because I don't know how to do this type of math problem.
number of adults ---- x
number of kids ------3x
7x + 3(3x) = 6000
take over, it is easy.
My son has the same question and we can't figure it out
To find out how many people bought tickets, we need to set up an equation based on the information given.
Let's assume the number of adults who attended the concert is A and the number of children is C.
According to the given information, the number of children who attended is three times the number of adults: C = 3A.
We also know that the cost of an adult's ticket is $7 and a child's ticket is $3. Therefore, the total amount collected from adult tickets is 7A, and the total amount collected from child tickets is 3C.
Since the total amount collected was $6,000, we can write the equation: 7A + 3C = 6000.
Now, we can substitute the value of C from the first equation (C = 3A) into the second equation:
7A + 3(3A) = 6000.
Simplifying the equation:
7A + 9A = 6000.
Combining like terms: 16A = 6000.
Dividing both sides by 16: A = 375.
Therefore, the number of adults who bought tickets (A) is 375.
Now, we can substitute this value back into the first equation (C = 3A) to find the number of children who attended:
C = 3(375) = 1125.
Therefore, the number of children who bought tickets (C) is 1125.
To calculate the total number of people who bought tickets, we can add the number of adults and children together:
Total number of people = A + C = 375 + 1125 = 1500.
Hence, 1500 people bought tickets to the concert.