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)![]() ![]() ![]() You can put this solution on YOUR website! 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) \n" ); document.write( "************** \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 \n" ); document.write( "******************* \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 \n" ); document.write( " |