document.write( "Question 511964: I have to come up with two equations to solve this problem:
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document.write( "The number of frogs is 6 more than ducks and the number of combined legs is 54. What are the number of frogs and ducks?\r
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document.write( "I tried:
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document.write( "(4x+6)+2y=54
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document.write( "4x+2y=54\r
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document.write( "But these equations did not work, PLEASE help? \n" );
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Algebra.Com's Answer #342470 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! f = number of frogs \n" ); document.write( "4f = number of frogs' legs \n" ); document.write( "d = number of ducks \n" ); document.write( "2d = number of ducks' legs \n" ); document.write( ". \n" ); document.write( "f = d+6 \n" ); document.write( ". \n" ); document.write( "4f + 2d = 54 \n" ); document.write( ". \n" ); document.write( "substitute f=d+6 \n" ); document.write( ". \n" ); document.write( "4(d+6) +2d =54 \n" ); document.write( ". \n" ); document.write( "4d +24 +2d = 54 \n" ); document.write( ". \n" ); document.write( "6d = 30 \n" ); document.write( ". \n" ); document.write( "d = 5 \n" ); document.write( ". \n" ); document.write( "f = d+6 = 5+6 = 11 \n" ); document.write( ". \n" ); document.write( "Check to see how many legs you have: \n" ); document.write( "4(11) = 44 \n" ); document.write( "2(5) = 10 \n" ); document.write( "44+10 = 54 \n" ); document.write( "OK. \n" ); document.write( ". \n" ); document.write( "Answer: There are 5 ducks and 11 frogs. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |