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20 votes
Algebra 1-

The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2,200 people enter the fair and $5,050 is collected. Determine how many children and adults attended?

User Binh Ho
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1 Answer

27 votes
27 votes
First, write the two equations letting c=children and a=adults :
c+a=2200

1.50(c) + 4.00 (a)=5050
Step-by-step 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
User Rob Young
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