document.write( "Question 903820: I need help explaining how I know I have the numbers in this word problem in the correct blanks.
\n" ); document.write( "I already have the blanks filled in, but I don't know how to explain.
\n" ); document.write( "The movie theater had 100 people in the audience at the matinee performance. An adult ticket costs $6.00. Tickets for both children under 12 years of age and senior citizens cost $4.00. The theatre took in a total of $450.00 on ticket sales, so the number of adult tickets sold was 25. \r
\n" ); document.write( "\n" ); document.write( "The blanks were:
\n" ); document.write( "- 100
\n" ); document.write( "- $6.00
\n" ); document.write( "- $4.00
\n" ); document.write( "- $450.00
\n" ); document.write( "-25 \r
\n" ); document.write( "\n" ); document.write( "Thanks a lot! I really appreciate your help :)
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #548313 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
You didn't explain what the blanks were labeled or is that what you are supposed to do
\n" ); document.write( "- 100 total tickets
\n" ); document.write( "- $6.00 adult ticket price
\n" ); document.write( "- $4.00 children and senior
\n" ); document.write( "- $450.00 amt received for tickets
\n" ); document.write( "-25 adult tickets sold
\n" ); document.write( "and you left out 75 for children and seniors
\n" ); document.write( "a+c=100,
\n" ); document.write( "6*a+4*c=450
\n" ); document.write( "a=100-c
\n" ); document.write( "6*(100-c)+4*c=450
\n" ); document.write( "600-6c+4*c=450
\n" ); document.write( "-2*c=-150
\n" ); document.write( "c=75
\n" ); document.write( "a=100-c
\n" ); document.write( "a=25 s at $6 and c=75 at $4
\n" ); document.write( "check
\n" ); document.write( "25+75=100
\n" ); document.write( "6*a+4*c=450
\n" ); document.write( "6*25+4*75=450
\n" ); document.write( "150+300=450
\n" ); document.write( "450=450
\n" ); document.write( "ok
\n" ); document.write( "
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\n" );