document.write( "Question 196173: Certain number of students planed to go for a picnic. Tht total expense was estimated to be Rs.3600-. But 15 students could not go. Each student participated had to pay Rs.8/- more. Then howmany students participated in the picnic \n" ); document.write( "
Algebra.Com's Answer #147049 by josmiceli(19441)\"\" \"About 
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Let \"s\"= the number of students who
\n" ); document.write( "participated in the picnic.
\n" ); document.write( "The expense of 3600 was based on \"s+%2B+15\"
\n" ); document.write( "students participating
\n" ); document.write( "The cost per student would have been \"3600%2F%28s+%2B+15%29\"
\n" ); document.write( "But now the cost per student is \"3600%2Fs\"
\n" ); document.write( "The difference between these costs is \"8\"
\n" ); document.write( "\"3600%2Fs+-+3600%2F%28s+%2B+15%29+=+8\"
\n" ); document.write( "Multiply both sides by \"s%2A%28s+%2B+15%29\"
\n" ); document.write( "\"3600%2A%28s+%2B+15%29+-+3600s+=+8%2As%2A%28s+%2B+15%29\"
\n" ); document.write( "\"3600s+%2B+54000+-+3600s+=+8s%5E2+%2B+120s\"
\n" ); document.write( "\"54000+=+8s%5E2+%2B+120s\"
\n" ); document.write( "\"s%5E2+%2B+15s+=+6750\"
\n" ); document.write( "Complete the square:
\n" ); document.write( "\"s%5E2+%2B+15s+%2B+%2815%2F2%29%5E2+=+6750+%2B+%2815%2F2%29%5E2\"
\n" ); document.write( "\"%28s+%2B+15%2F2%29%5E2+=+27000%2F4+%2B+225%2F4\"
\n" ); document.write( "\"%28s+%2B+15%2F2%29%5E2+=+27225%2F4\"
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( "\"s+%2B+15%2F2+=+165%2F2\"
\n" ); document.write( "\"s+=+%28165+-+15%29%2F2\"
\n" ); document.write( "\"s+=+75\"
\n" ); document.write( "75 students participated in the picnic
\n" ); document.write( "check answer:
\n" ); document.write( "\"3600%2Fs+-+3600%2F%28s+%2B+15%29+=+8\"
\n" ); document.write( "\"3600%2F75+-+3600%2F%2875+%2B+15%29+=+8\"
\n" ); document.write( "\"48+-+40+=+8\"
\n" ); document.write( "\"8+=+8\"
\n" ); document.write( "OK
\n" ); document.write( "
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