document.write( "Question 1064669: The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 1,486 people enter the fair and $3,479 is collected. How many children and how many adults attended? \n" ); document.write( "

Algebra.Com's Answer #679760 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = number of children attended
\n" ); document.write( "Let $\"+b+\"$ = number of adults attended
\n" ); document.write( "---------------------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+1486+\"$
\n" ); document.write( "(2) $\"+1.5a+%2B+4b+=+3479+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "Multiply both sides of (2) by $\"+2+\"$
\n" ); document.write( "(2) $\"+3a+%2B+8b+=+6958+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+3+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "-------------------------------
\n" ); document.write( "(2) $\"+3a+%2B+8b+=+6958+\"$
\n" ); document.write( "(1) $\"+-3a+-+3b+=+-4458+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( " $\"+5b+=+2500+\"$
\n" ); document.write( " $\"+b+=+500+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+1486+\"$
\n" ); document.write( "(1) $\"+a+%2B+500+=+1486+\"$
\n" ); document.write( "(1) $\"+a+=+986+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "500 adults attended
\n" ); document.write( "---------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+1.5a+%2B+4b+=+3479+\"$
\n" ); document.write( "(2) $\"+1.5%2A986+%2B+4%2A500+=+3479+\"$
\n" ); document.write( "(2) $\"+1479+%2B+2000+=+3479+\"$
\n" ); document.write( "(2) $\"+3479+=+3479+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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