document.write( "Question 182533: There are 640 people at a play. The admission price was $3 for adults and $1 for children. The admission receipts were $1220. How many adults and how many children attended? \n" ); document.write( "
Algebra.Com's Answer #137031 by eperette(173)\"\" \"About 
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Let
\n" ); document.write( "a = number of adults
\n" ); document.write( "c = number of children\r
\n" ); document.write( "\n" ); document.write( "Then
\n" ); document.write( "a + c = 640
\n" ); document.write( "3a + 1c = 1220\r
\n" ); document.write( "\n" ); document.write( "We will solve using elimination (subtraction method)
\n" ); document.write( "-1(a + c = 640)
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\n" ); document.write( "-a - c = -640
\n" ); document.write( "3a + c = 1220
\n" ); document.write( "**************
\n" ); document.write( "2a + 0 = 580
\n" ); document.write( "2a/2 = 580/2
\n" ); document.write( "a = 290\r
\n" ); document.write( "\n" ); document.write( "Now lets go back and substitute a to find c
\n" ); document.write( "a + c =640
\n" ); document.write( "290+c =640
\n" ); document.write( "290-290+c=640-290
\n" ); document.write( "0 + c = 350
\n" ); document.write( "c = 350
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\n" ); document.write( "There were 290 adults and 350 children\r
\n" ); document.write( "\n" ); document.write( "CHECK
\n" ); document.write( "290+350=640 admissions
\n" ); document.write( "290($3) + 350($1)=$870 + $350 = $1,220
\n" ); document.write( "answer is right
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