SOLUTION: the admission fee at a concert is $4.00 for children and $8.00 for adults. On the first day, 2350 people enter the concert and $12400 is collected. How many children attended?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: the admission fee at a concert is $4.00 for children and $8.00 for adults. On the first day, 2350 people enter the concert and $12400 is collected. How many children attended?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 972057: the admission fee at a concert is $4.00 for children and $8.00 for adults. On the first day, 2350 people enter the concert and $12400 is collected. How many children attended?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
C=4.00
A=8.00
C+A=2,350
C=2,350-A
4C+8A=12,400
4(2,350-A)+8A=12,400
9,400-4A+8A=12,400
4A=12,400-9,400
4A=3,000
A=3,000/4
A=750 ADULTS ATTENDED.
C+750=2,350
C=2,350-750
C=1,600 CHILDREN ATTENDED.
PROOF:
4*1,600+8*750=12,400
6,400+6,000=12,400
12,400=12,400