document.write( "Question 110213: A recreational softball team paid a league entry fee of $825. The cost was covered by equal contributions from each memeber on the team. If there were four more team members, each person could contibute $20 less. How many memebers does the team have?\r
\n" ); document.write( "\n" ); document.write( "i tried to write an equation... i made \"x\" be the money the players were contributing and \"p\" be the number of players\r
\n" ); document.write( "\n" ); document.write( "since it said the fee was split evenly, i put 825/x = p.
\n" ); document.write( "also, i had (p+4) = 825/(x-20) because if there were four more players they would have to pay $20 less than before. After that, i could understand how you were able to figure out how many members the team had. Could you help me please?\r
\n" ); document.write( "\n" ); document.write( "Thanks a lot tutor!
\n" ); document.write( "

Algebra.Com's Answer #80314 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
You set up the problem correctly, except that I started with \"px=825\"
\n" ); document.write( ":
\n" ); document.write( "The next step was to write: \"%28p%2B4%29%2A%28x-20%29=825\"
\n" ); document.write( ":
\n" ); document.write( "Since \"px\" and \"%28p%2B4%29%2A%28x-20%29\" both equal the same thing, you can write:
\n" ); document.write( ":
\n" ); document.write( "\"px=%28p%2B4%29%28x-20%29\"
\n" ); document.write( ":
\n" ); document.write( "\"px=px%2B4x-20p-80\"
\n" ); document.write( ":
\n" ); document.write( "\"4x-20p-80=0\", but we know that \"x=825%2Fp\", so:
\n" ); document.write( ":
\n" ); document.write( "\"4%28825%2Fp%29-20p-80=0\",
\n" ); document.write( "\"3300%2Fp-20p-80=0\"
\n" ); document.write( "\"20p%5E2%2B80p-3300=0\"
\n" ); document.write( "\"p%5E2%2B4p-115=0\", which factors to:
\n" ); document.write( "\"%28p-11%29%28p%2B15%29=0\"
\n" ); document.write( ":
\n" ); document.write( "Hence, \"p=11\" or \"p=-15\".
\n" ); document.write( ":
\n" ); document.write( "Throw out the negative result because you can't have a negative number of people on a team, and your answer is 11.
\n" ); document.write( ":
\n" ); document.write( "Check:
\n" ); document.write( "\"875%2F11=75\"
\n" ); document.write( "\"875%2F15=55\", 15 is 4 more than 11, and 55 is 20 less than 75. Check.
\n" ); document.write( "
\n" );