document.write( "Question 1053932: A party of tourists booked a hotel for ₹1200. Three of the members failed to pay. Asa, result, each of the others had to pay ₹ 20 more. How many tourists were there in the party? \n" ); document.write( "

Algebra.Com's Answer #669110 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "A party of tourists booked a hotel for ₹1200. Three of the members failed to pay.
\n" ); document.write( " $\"highlight%28cross%28Asa_result%29%29\"$ As a result, each of the others had to pay ₹ 20 more. How many tourists were there in the party?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solution 1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "(1)  n*p          = 1200,\r\n" );
document.write( "(2)  (n-3)*(p+20) = 1200.\r\n" );
document.write( "\r\n" );
document.write( "Express p =   from (1) and substitute it into (2) to get a single equation for n.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " = 1200.\r\n" );
document.write( "\r\n" );
document.write( "Multiply both sides by n. You will get\r\n" );
document.write( "\r\n" );
document.write( "(n-3)*(1200+20n) = 1200n.\r\n" );
document.write( "\r\n" );
document.write( "Now simplify and solve for n.\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solution 2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( " -  = 20.\r\n" );
document.write( "\r\n" );
document.write( "Multiply by n*(n-3) both sides. You will get\r\n" );
document.write( "\r\n" );
document.write( "1200*n - 1200*(n-3) = 20*n*(n-3).\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve for n.\r\n" );
document.write( "

\n" ); document.write( " \n" ); document.write( "

\n" );