document.write( "Question 63963This question is from textbook Beginning Algebra
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document.write( ": For a Saturday matinee,adults tickets cost $5.50 while kids under 12 pay only $4.00. If 70 tickets are sold for a total of $310, how many of the tickets were adult tickets and how many were sold to kids under 12? I would greatly appreciate help with being able to understand this problem. I am having alot of trouble in the word problem section of my text, as I am made to learn by only the examples in my book on my own. \n" );
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Algebra.Com's Answer #44636 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! Ax+By=C [Use the standard form of a linear equation] \n" ); document.write( "x+y=C so, x+(C-x)=C [also use this formula] \n" ); document.write( ". \n" ); document.write( "$5.50x+$4.00y=$310 [plug-in the values] \n" ); document.write( "Since x+(C-y)=C, than x+y=70 or x+(70-x)=70 \n" ); document.write( ". \n" ); document.write( "5.50x+4.00(70-x)=310 [substitute (70-x) for y and simplify] \n" ); document.write( "5.50x+280-4x=310 \n" ); document.write( "5.50-4=310-280 [solve for x] \n" ); document.write( "1.5x=30 \n" ); document.write( "x=20 adults \n" ); document.write( "and \n" ); document.write( "y=(70-x)=70-20=50 kids under 12. \n" ); document.write( "Checking: \n" ); document.write( "$5.50(20)+$4.00(50)=$310 [plug-in the values] \n" ); document.write( "$310= $310 [checks out] \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |