document.write( "Question 298712: A cat, a fox and a dog share a portion of 450 grams of meat. If two foxes eat as much as three cats and two cats eat as much as a dog, how many grams of meat does the fox eat?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #854299 by MathTherapy(10816) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "A cat, a fox and a dog share a portion of 450 grams of meat. If two foxes eat as much as three cats and two\r\n" );
document.write( "cats eat as much as a dog, how many grams of meat does the fox eat?\r\n" );
document.write( "*******************************************************************\r\n" );
document.write( "Let the amount a fox eats, be F, and the amount a cat eats, be C\r\n" );
document.write( "Since the 3 share a portion of 450 grams of meat, the dog's share is 450 - F - C\r\n" );
document.write( "\r\n" );
document.write( "As \"two foxes eat as much as three cats,\" we get: 2F = 3C ---- eq (i)\r\n" );
document.write( "Also, since \"two cats eat as much as a dog,\" we get: 2C = 450  -  F  -  C___3C = 450  -  F ---- eq (ii)\r\n" );
document.write( "                                                                                      2F = 450  -  F ----- Substituting 2F for 3C in eq (ii)\r\n" );
document.write( "                                                                                      3F = 450\r\n" );
document.write( "                                                 Amount a fox eats, or

\n" ); document.write( "

\n" );