<PRE><B>Question 221194</B>
There were 360 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts totaled $740. How many adults and how many children attended?


Step 1.  Let x be the number of adult tickets.


Step 2.  Let 3x be the dollar value of adult tickets.


Step 3.  Let 360-x be the number of children tickets


Step 4.  Let 360-x be the dollar value of children tickets since they are $1 each.


Step 5.  Then 3x+360-x=740 since the admission receipts totaled $740.


Step 6  Simplifying yields the following steps


{{{2x+360=740}}}


Subtract 360 from both sides of the equation


{{{2x+360-360=740-360}}}


{{{2x=380}}}


Divide 2 to both sides of the equation


{{{2x/2=380/2}}}


{{{x=190))) and {{{360-x=170}}}


Check dollar value...{{{3*190+160=570+170=740}}}...a true statement.


Step 7. ANSWER:  There are 190 adult tickets and 170 children tickets sold.


I hope the above steps were helpful. 


For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.


And good luck in your studies!


Respectfully,
Dr J


drjctu@gmail.com


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