SOLUTION: The admission fee at a small fair is $1.50 for small children and $4.00 for adults. On a certain day, 2200 people entered the fair and $5050 is collected. How many children an

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The admission fee at a small fair is $1.50 for small children and $4.00 for adults. On a certain day, 2200 people entered the fair and $5050 is collected. How many children an      Log On


   

Question 692976:
The admission fee at a small fair is $1.50 for small children and $4.00 for adults. On a certain day, 2200 people entered the fair and $5050 is collected. How many children and how many adults attended?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
C+A=2200 OR C=2200-A
1.5C+4A=5050
1.5(2200-A)+4A=5050
3300-1.5A+4A=5050
2.5A=5050-3300
2.5A=1750
A=1750/2.5
A=700 ADULTS ENTERED.
C+700=2200
C=2200-700
C=1500 CHILDREN ENTERED.
PROOF:
1.5*1500+4*700=5050
2250+2800=5050
5050=5050