SOLUTION: You have a front row ticket that = $4.00 less than 2 times the lawn ticket. 2 front row tickets plus 5 lawn tickets = $ 100.00. What is the cost of each type of ticket?

Algebra ->  Expressions-with-variables -> SOLUTION: You have a front row ticket that = $4.00 less than 2 times the lawn ticket. 2 front row tickets plus 5 lawn tickets = $ 100.00. What is the cost of each type of ticket?       Log On


   

Question 125212: You have a front row ticket that = $4.00 less than 2 times the lawn ticket.
2 front row tickets plus 5 lawn tickets = $ 100.00.
What is the cost of each type of ticket?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let f = price of one front row ticket
Let t = price of one lawn ticket
f+=+2t+-+4
2f+%2B+5t+=+100
multiply the 1st equation by -2 and add to the 2nd
-2f+=+-4t+%2B+8
2f+=+-5t+%2B+100
0+=+-9t+%2B+108
Add 9t to both sides
9t+=+108
t+=+12
f+=+2t+-+4
f+=+2%2A12+-+4
f+=+20
The cost of a front row ticket is $20
The cost of a lawn ticket is $12
check:
2f+%2B+5t+=+100
2%2A20+%2B+5%2A12+=+100
40+%2B+60+=+100
100+=+100
OK