SOLUTION: The admission fee for a fair is $3 for children and $5 for adults. On a certain day, 2600 people enter the fair and $9600 is collected. How many children attended the fair?

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: The admission fee for a fair is $3 for children and $5 for adults. On a certain day, 2600 people enter the fair and $9600 is collected. How many children attended the fair?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 747649:
The admission fee for a fair is $3 for children and $5 for adults. On a certain day, 2600 people enter the fair and $9600 is collected. How many children attended the fair?

Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
C+A=2600 OR C=2600-A
3C+5A=9600
3(2600-A)+5A=9600
7800-3A+5A=9600
2A=9600-7800
2A=1800
A=1800/2
A=900 ADULTS ANS.
C=2600-900
C=1700 CHILDREN ANS.
PROOF:
3*1700+5*900=9600
5100+4500=9600
9600=9600