SOLUTION: The school that lisa goes to is selling tickets to the annual talent show. On the first day the school sold 4 senior citizen tickets and 5 student tickets for a total of $102.00. T

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The school that lisa goes to is selling tickets to the annual talent show. On the first day the school sold 4 senior citizen tickets and 5 student tickets for a total of $102.00. T      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 179264: The school that lisa goes to is selling tickets to the annual talent show. On the first day the school sold 4 senior citizen tickets and 5 student tickets for a total of $102.00. The school took in $126.00 on the second day by selling 7 senior citizen tickets and 5 student tickets. What is the price each of one senior citizen ticket and one student ticket?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let c= price of a senior citizen ticket
Let s= the price of a student ticket
given:
(1) 4c+%2B+5s+=+102
(2) 7c+%2B+5s+=+126
Subtract (1) from (2)
3c+=+24
c+=+8
And, from (1)
(1) 4c+%2B+5s+=+102
4%2A8+%2B+5s+=+102
5s+=+70
s+=+14
One senior ticket was $8 and one student ticket
was $14
check:
(2) 7c+%2B+5s+=+126
7%2A8+%2B+5%2A14+=+126
56+%2B+70+=+126
126+=+126
OK