SOLUTION: The enterence fee for a carnival is $5 for children and $10 for adults. If one evening 498 tickets were sold with total receipts of $3320, how many children and how many adults ent

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Question 1113900: The enterence fee for a carnival is $5 for children and $10 for adults. If one evening 498 tickets were sold with total receipts of $3320, how many children and how many adults entered the carnival?
Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
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c children
a adults
system%285c%2B10a=3320%2Cc%2Ba=498%29

Simplify and solve any way you like - substitution or elimination

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The highlight%28cross%28enterence%29%29 entrance fee for a carnival is $5 for children and $10 for adults. If one evening 498 tickets were sold with
total receipts of $3320, how many children and how many adults entered the carnival?
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It is a standard ticket problem.

Read the lessons
    - Using systems of equations to solve problems on tickets
    - Three methods for solving standard (typical) problems on tickets
in this site.

Learn from these lessons on how to solve such problems once for all.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Systems of two linear equations in two unknowns".


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The enterence fee for a carnival is $5 for children and $10 for adults. If one evening 498 tickets were sold with total receipts of $3320, how many children and how many adults entered the carnival? 
Let number of children and adults, be C and A, respectively

Then we get: 5C + 10A = 3,320______5(C + 2A) = 5(664)_____C + 2A = 664 ----- eq (i)

Also, C + A = 498 ------- eq (ii)

Subtract eq (ii) from eq (i) to ELIMINATE C, and determine the value of A: the number of adults

Substitute the value of A into any of the 2 ORIGINAL equations to find the value of C: the number of children.