The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?

1 Answer
Jan 4, 2016

First, write the two equations letting c=children and a=adults :

#c+a=2200#
#1.50(c)+4.00(a)=5050#

Explanation:

Now, use substitution ...

#c=2200-a#

#1.50(2200-a)+4.00(a)=5050#

Simplify ...

#2.5a=1750#

#a=700#

Using the first equation ...

#c=2200-a=2200-700=1500#

In summary, there were 700 adults and 1500 children .

hope that helped