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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        The solution and the answer in the post by @mananth are incorrect.

        I came to bring a correct solution.



<pre>
let dog eats x grams
cat eats x/2
3 cats eat 3x/2
2 foxes eat 3x/2
each fox eats 3x/4


The setup equation is

    {{{x + x/2 + 3x/4}}} = 450


Simplify and find x


    {{{(4x+2x+3x)/4}}} = 450

    9x = 450*4

    x = {{{(450*4)/9}}} = 50*4 = 200.


Thus, the dog eats 200 grams of meat.

Hence, the cat eats  x/2 = 200/2 = 100 grams of meat,

       the fox eats 3x/4 = 3*200/4 = 3*50 = 150 grams of meat.


At this point, the problem is solved completely.


<U>ANNSWER</U>.  The fox eats 150 grams of meat.


<U>CHECK</U> the total:  dog + cat + fox = 200 + 100 + 150 = 450 grams.  ! Precisely correct !
</pre>

Solved correctly.