document.write( "Question 20149: I am a mom trying to help my son with a word problem. I am stumped. Please help:
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document.write( "Pete has 20 pets. If he has 5 more than 1/4 as many dogs as cats, how many cats does he have?
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document.write( "Thanks!
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document.write( "LS \n" );
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Algebra.Com's Answer #9725 by suresh(20)![]() ![]() ![]() You can put this solution on YOUR website! Pate has 20 pets.\r \n" ); document.write( "\n" ); document.write( "Let x be the number of dogs and y be the number of cats.\r \n" ); document.write( "\n" ); document.write( "Given: \n" ); document.write( "x+y=20------------> (1) \n" ); document.write( "5+(1/4)x = y------> (2)\r \n" ); document.write( "\n" ); document.write( "Multiplying 4 on both sides of (2),we have \n" ); document.write( "20+x=4y. \n" ); document.write( "x-4y=-20---------->(3)\r \n" ); document.write( "\n" ); document.write( "Subtracting (3)from (1),we have\r \n" ); document.write( "\n" ); document.write( "5y=40\r \n" ); document.write( "\n" ); document.write( "y=8. \n" ); document.write( "So Pate has 8 cats. \n" ); document.write( " |