A stadium sells 1,000 tickets at $10 and 2,000 tickets at $5. What is the average ticket price for the event?

Question

 I just wanna know the answer. ive been trying to do this problem for like an hour.

Answer 1

I think it's more beneficial for you if I explain the underlying ideas instead of just giving you the answer. So, to begin...

 

An average of a set of a numbers is equal to the sum of that set of numbers, divided by the number of terms in that set. 

So, for instance, imagine if the heights of five different trees were:  3 feet, 4 feet, 5 feet, 6 feet and 7 feet. The way to find the average height of the five trees would be to add 3+4+5+6+7 (which is the sum of the set of numbers), and then divide that sum by 5 (which is the number of terms in that set; there are *five* trees total). The set-up would look like this:

 

 

   sum of all the terms           =     3+4+5+6+7  = 25   = 5

number of terms in the set                      5            5

 

 

Your question is a slight variation on the same idea. It's going to be the total price of all the tickets, divided by the number of tickets sold. That will get you the average. 

Try to figure out what that would be. Respond, and I'll respond again! Good luck!

Answer 2

Average Price = (1000*$10 + 2000*$5) / (3000) = $6.67

Answer 3

To find the average here, you need to divide the total amount of money earned by the total number of tickets sold.

 

First, find the total amount of money the stadium made:

(1,000x10)+(2,000x5)

10,000 + 10,000

$20,000 total earned

 

Now, you need to find the total number of tickets sold:

1,000 + 2,000 = 3,000

 

Finally, divide the total money by the total ticket sales to find the average price:

20,000 / 3,000 = $6.6666...7

 

Because it doesn't divide evenly, you will need to round off your answer. Because you're working with money, I suggest rounding off to two decimal places, so your answer would be $6.67

 

Hope that helped!