SOLUTION: Hi, I am having a toguth time with this problem. It says "The admission fee at an amusement park is $15 for children and $40 for adults. On a certain day, 2200 people enter the fai

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Hi, I am having a toguth time with this problem. It says "The admission fee at an amusement park is $15 for children and $40 for adults. On a certain day, 2200 people enter the fai      Log On

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Question 95441: Hi, I am having a toguth time with this problem. It says "The admission fee at an amusement park is $15 for children and $40 for adults. On a certain day, 2200 people enter the fair and $50,500 is collected. How many children and homw many adults attended?"
If you could help me I would really appreciate it!! = )
Answer by kiljoy(51) About Me  (Show Source):
You can put this solution on YOUR website!
We're going to use c for children and a for adults here.
+c%2Ba=2200
+15c%2B40a=50500
Now substitute, solve the first problem for a or c, lets do c.
+c=2200-a
Now plugin our c value into the 2nd problem.
15%282200-a%29%2B40a=50500
33000-15a%2B40a=50500
25a=17500
a=700
Now, plugin our a value (700) to solve for c.
c%2Ba=2200
c%2B700=2200
c=1500
This means, 1500 children and 700 adults went to the park.
Check
+700%2B1500=2200
+2200=2200