A total of 101 tickets are sold. A student ticket costs $1, adult ticket costs $2.50. Total ticket sales are $164. How of each type of ticket were sold?

Question

Please help, I can't figure out how to set up the problem. This should be elimination but I just need help setting it up. Please, its due tomorrow and I really have to get this done, thanks a lot.

Answer 1

Hi Tristan, OK, here is the setup.

 

Let S represent the number of student tickets sold.

 

Let A represent the number of adult tickets sold.

 

Then:

 

S + A = 101, the number of student tickets plus the number of adult tickets equals 101.

 

1.00 * S + 2.50 * A = 164.00, the number of student tickets times the cost of a student ticket plus the number of adult tickets times the cost of an adult ticket equals 164.00.

 

There are your two equations:

 

S + A = 101

 

1.00 * S + 2.50 * A = 164.00

 

Now solve.

 

Questions?