document.write( "Question 1209458: Hi
\n" ); document.write( "Bob and John had some cards. When John gave Bob 32 cards then they would have an equal amount of cards.
\n" ); document.write( "If Bob gave John 161 cards then John would have 4 times as many cards as Bob.
\n" ); document.write( "How many cards did Bob have.
\n" ); document.write( "My son found that Bob had 289 and two thirds cards.Can someone check this please. \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #848875 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Bob and John had some cards. \r\n" );
document.write( "\r\n" );
document.write( "Bob has B cards. John has J cards\r\n" );
document.write( "\r\n" );
document.write( "When John gave Bob 32 cards then they would have an equal amount of cards.\r\n" );
document.write( "\r\n" );
document.write( "J-32 = B + 32\r\n" );
document.write( "\r\n" );
document.write( "If Bob gave John 161 cards then John would have 4 times as many cards as Bob.\r\n" );
document.write( "\r\n" );
document.write( "4(B-161) = J+161\r\n" );
document.write( "\r\n" );
document.write( "How many cards did Bob have. \r\n" );
document.write( "\r\n" );
document.write( "\"system%28J-32=B%2B32%2C+4%28B-161%29+=+J%2B161%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"system%28J-B=64%2C+4B-644+=+J%2B161%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"system%28J-B=64%2C+-J%2B4B=644%2B161%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"system%28J-B=64%2C+-J%2B4B=805%29\"\r\n" );
document.write( "\r\n" );
document.write( "Adding the equations term by term,\r\n" );
document.write( "\r\n" );
document.write( "\"3B=869\"\r\n" );
document.write( "\r\n" );
document.write( "\"B+=+869%2F3+=+289%262%2F3\"\r\n" );
document.write( "\r\n" );
document.write( "That's what I got, also.\r\n" );
document.write( "\r\n" );
document.write( "\"J-869%2F3=64\"\r\n" );
document.write( "\"J=64%2B869%2F3\"\r\n" );
document.write( "\"J=192%2F3%2B869%2F3\"\r\n" );
document.write( "\"J=761%2F3=253%262%2F3\"\r\n" );
document.write( "\r\n" );
document.write( "Maybe they cut some cards up.\r\n" );
document.write( "\r\n" );
document.write( "-----------------\r\n" );
document.write( "\r\n" );
document.write( "Or maybe there was another way to interpret this. Let's reword it this way:\r\n" );
document.write( "\r\n" );
document.write( "Bob and John had some cards. \r\n" );
document.write( "John gave Bob 32 cards and then they had an equal amount of cards. \r\n" );
document.write( "Beginning with an equal number of cards, Bob gave John 161 cards. \r\n" );
document.write( "Then John had 4 times as many cards as Bob. \r\n" );
document.write( "How many cards did Bob have?\r\n" );
document.write( "\r\n" );
document.write( "Let's do it that way:\r\n" );
document.write( "After John gave Bob 32 cards, they had N cards each.\r\n" );
document.write( "Bob gave John 161 cards. Then Bob had N-161 cards and John had N+161 cards.\r\n" );
document.write( "Then John had 4 times as many cards as Bob.\r\n" );
document.write( "\r\n" );
document.write( "\"4%28N-161%29=N%2B161\"\r\n" );
document.write( "\r\n" );
document.write( "\"4N-644=N%2B161\"\r\n" );
document.write( "\r\n" );
document.write( "\"3N=805\"\r\n" );
document.write( "\r\n" );
document.write( "\"N=805%2F3=268%261%2F3\"\r\n" );
document.write( "\r\n" );
document.write( "So originally John had 32 cards more and Bob had 32 cards less.\r\n" );
document.write( "\r\n" );
document.write( "So in the beginning, John had \"268%261%2F3%2B32=300%261%2F3\" and\r\n" );
document.write( "Bob had \"268%261%2F3-32=236%261%2F3\"\r\n" );
document.write( "\r\n" );
document.write( "That also requires cutting cards in thirds. \r\n" );
document.write( "\r\n" );
document.write( "I dunno.  Obviously, your son's teacher was not savvy as to how to \r\n" );
document.write( "make up word problems.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );