Question

At a fair it cost $1.50 per child admission and $4.00 per adult admission. One day a total of 2,200 people attended the fair and the total admission collected was $5,050. How many children and how many adults attended.

Answer 1

Answer: 700 adults and 1500 children .

Explanation:

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

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

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