document.write( "Question 153579: Cheryl is dividing her soccer team into 5 groups, 1/2 are forwards,1/6 are halfbacks,1/6 are wings,1/12 are fullbacks and 2 others are goalies. How many players are there on the team and how many in each group? \n" ); document.write( "

Algebra.Com's Answer #113047 by vleith(2983) $\"\"$ $\"About$

You can put this solution on YOUR website!
The trick here is to total of the 'fractional parts'.
\n" ); document.write( "So add $\"1%2F2+%2B+1%2F6+%2B+1%2F6+%2B+1%2F12\"$
\n" ); document.write( " $\"6%2F12+%2B+2%2F12+%2B+2%2F12+%2B+1%2F12\"$
\n" ); document.write( " $\"11%2F12\"$
\n" ); document.write( "The total fraction when everyone is counted must be 1. We are short $\"1%2F12\"$
\n" ); document.write( "So 2 two goalies must be $\"1%2F12\"$ worth of the group.
\n" ); document.write( " $\"2%2FGroupTotal+=+1%2F12\"$
\n" ); document.write( " $\"24+=+GroupTotal\"$
\n" ); document.write( "Now check your answers.
\n" ); document.write( "1/2 would be 12
\n" ); document.write( "1/6 would be 4
\n" ); document.write( "1/12 would be 2\r
\n" ); document.write( "\n" ); document.write( "Does 12+4+4+2+2 = 24?
\n" ); document.write( " \n" ); document.write( "

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