SOLUTION: Swimming Pool On a certain hot summer's day, 356 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission tot

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Question 1190610: Swimming Pool On a certain hot summer's day, 356 people used the public swimming pool. The
daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled
$666.00. How many children and how many adults swam at the public pool that day?

Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
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Swimming Pool On a certain hot summer's day, 356 people used the public swimming pool. The
daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled
$666.00. How many children and how many adults swam at the public pool that day?
~~~~~~~~~~~~~~~

Let x = # of adult tickets;

then the number of children tickets is (356-x).


Write the total money equation (revenue equation)

    1.75*(356-x) + 2.25x = 666   dollars.


From the equation

    x = %28666-1.75%2A356%29%2F%282.25-1.75%29 = 86.


ANSWER.  86 adults and 356-86 = 270 children.


CHECK.  86*2.25 + 270*1.75 = 666  dollars.   ! Correct !

Solved.

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It is a standard and typical tickets problem.

There are different methods of solving such problems.
In this site, there is a lesson
    - Using systems of equations to solve problems on tickets
explaining and showing different methods of solving such problems.

From this lesson,  learn on how to solve such problems once and for all.

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

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

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.