document.write( "Question 428938: 353 people attend a local play ata private club. members get tickets for $2.75, while non - members have to pay $6.50. If the total gate for the play came to $1762, how many members and non - members came to the play? \n" ); document.write( "

Algebra.Com's Answer #298035 by josmiceli(19441) $\"\"$ $\"About$

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$\"a\"$ = number of members
\n" ); document.write( " $\"b\"$ = number of non-members
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"a+%2B+b+=+353\"$
\n" ); document.write( "(2) $\"275a+%2B+650b+=+176200\"$ (in cents)
\n" ); document.write( "Multiply both sides of (1) by $\"275\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"275a+%2B+650b+=+176200\"$
\n" ); document.write( "(1) $\"-275a+-+275b+=+97075\"$
\n" ); document.write( " $\"+375b+=+79125+\"$
\n" ); document.write( " $\"+b+=+211\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"a+%2B+211+=+353\"$
\n" ); document.write( " $\"a+=+142+\"$
\n" ); document.write( "142 members and 211 non-members came \n" ); document.write( "

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