1.12.9
a jazz concert brought in $164,500 on the sale of 8,100 tickets. if the tickets sold for $15 and $25 each, how many of each type of ticket were sold?
the number of $15 tickets is

Step-by-step explanation:

Let x represent the number of $25 tickets sold. Then the total revenue is ...

  25x + 15(8100-x) = 164500

  10x + 121500 = 164500 . . . . . . collect terms

  10x = 43000 . . . . . . . . . . . . . . . subtract 121500

  x = 4300 . . . . . . . divide by 10

Then 8100 -x = 3800.

The number of $25 tickets is 4300.

The number of $15 tickets is 3800.

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.