SOLUTION: The admission fees at an amusement park are $2.50 for children and $5.20 for adults. On a certain day, 273 people entered the park, and the admission fees collected totaled $1,128.

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Question 1202650: The admission fees at an amusement park are $2.50 for children and $5.20 for adults. On a certain day, 273 people entered the park, and the admission fees collected totaled $1,128.00. How many children and how many adults attended the amusement park that day?
There were children and adults that attended the amusement park that day.
Answer by ikleyn(52776) About Me  (Show Source):
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The admission fees at an amusement park are $2.50 for children and $5.20 for adults.
On a certain day, 273 people entered the park, and the admission fees collected totaled $1,128.00.
How many children and how many adults attended the amusement park that day?
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Let x be the number of adults.  

Then the number of children was (273-x).


Write an equation for total money (for revenue)

    5.20x + 2.50*(273-x) = 1128  dollars.


Simplify and find x

    5.20x + 2.50*273 - 2.50x = 1128

    5.20x - 2.50x = 1128 - 2.50*273

        2.70x     =     445.50     

            x     =     445.50%2F2.70 = 165.


ANSWER.  165 adults and 273-165 = 108 children.


CHECK.   5.20*165 + 2.50*108 = 1128,  total money (revenue).   ! correct !

Solved.