Write a system of equations for the following problems and solve:

The receipts from 300 tickets for a high school program were $650. Adults were charged $2.50 each and students $1.50. How many tickets of each kind were sold?

Question

Write a system of equations for the following problems and solve:

The receipts from 300 tickets for a high school program were $650.  Adults were charged $2.50 each and students $1.50.  How many tickets of each kind were sold?

anonymous · Answer

Let's start off by writing the equations. Can you identify what the two equations would need to be about to start off?

anonymous · Answer

Um lets see I am not sure..

texaschic101 · Answer

a = adult tickets
s = student tickets

a + s = 300 ---> s = 300 - a
2.5a + 1.5s = 650

2.5a + 1.5(300 - a) = 650
2.5a + 450 - 1.5a = 650
2.5a - 1.5a = 650 - 450
a = 200

a + s = 300
200 + s = 300
s = 300 - 200
s = 100

check..
2.5a + 1.5s = 650
2.5(200) + 1.5(100) = 650
500 + 150 = 650
650 = 650 (correct)

adult tickets (a) = 200
student tickets (s) = 100

texaschic101 · Answer

any questions ?

anonymous · Answer

Thank you so much perfect explanation

texaschic101 · Answer

glad to help...sorry it took so long...at first, I couldn't get it to equal, but I finally caught my mistake and all is good

anonymous · Answer

that is ok!  Thank you. :)