Question 1204597
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If 129 people attend a concert and tickets for adults cost $2.25 
while tickets for children cost $1.5 and total receipts for the concert was $233.25, 
how many of each went to the concert?
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<pre>
x adults; (129-x) children


Write the total money equation

    2.25x + 1.50*(129-x) = 233.25   dollars.


Simplify and find x

    2.25x + 1.50*129 - 1.50x = 233.25

    2.25x - 1.50x = 233.25 - 1.50*129

        0.75x     =     39.75

            x     =     39.75/0.75 = 53.


<U>ANSWER</U>.  53 adults and 129-53 = 76 children.


<U>CHECK</U>.  53*2.25 + 76*1.50 = 233.25  dollar, total money.   ! correct !
</pre>

Solved.


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Is everything clear to you in my solution ?