Question 298712
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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?
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Let the amount a fox eats, be F, and the amount a cat eats, be C
Since the 3 share a portion of 450 grams of meat, the dog's share is 450 - F - C

As "two foxes eat as much as three cats," we get: 2F = 3C ---- eq (i)
Also, since "two cats eat as much as a dog," we get: 2C = 450  -  F  -  C___3C = 450  -  F ---- eq (ii)
                                                                                      2F = 450  -  F ----- Substituting 2F for 3C in eq (ii)
                                                                                      3F = 450
                                                 Amount a fox eats, or {{{F = 450/3 = highlight(matrix(1,2, 150, grams))}}}</font></font></font></b></pre>