SOLUTION: 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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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?
Found 5 solutions by mananth, richwmiller, ikleyn, josgarithmetic, MathTherapy:
Answer by mananth(16949)   (Show Source): You can put this solution on YOUR website!
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?
let dog eat x grams
cat eats x/2
3 cats eat 3x/2
2 foxes eat 3x/2
each fox eats 3x/4
x+x/2+3x/4=450
4x+2x+3x /4 = 450
10x= 450*4
10x=1800
x=180
x= 90 grams
3*90 /4 = 270/4 = 67.50 grams eaten by fox



Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
c+f+d=450
2f=3c
2c=d
c = 100, d = 200, f = 150
The other tutor was ok with x+x/2+3x/4=450
x=200 which is my d
For some reason he multiplied part of the equation by 4 but not all
and got
4x+2x+3x /4 = 450
if he had continued correctly
4x+2x+3x = 1800
9x=1800
x=200
each fox is 3x/4=600/4=150 which is my f
Answer by ikleyn(53804)   (Show Source): You can put this solution on YOUR website!
.
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?
~~~~~~~~~~~~~~~~~~~~~~~~~~


        The solution and the answer in the post by @mananth are incorrect.
        I came to bring a correct solution. 


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

     = 450


Simplify and find x


     = 450

    9x = 450*4

    x =  = 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.


ANNSWER.  The fox eats 150 grams of meat.


CHECK the total:  dog + cat + fox = 200 + 100 + 150 = 450 grams.  ! Precisely correct !

Solved correctly.



Answer by josgarithmetic(39806)   (Show Source): You can put this solution on YOUR website!
c, f, d, amount that each can eat



If possible wanted all as a variable in f.



then

Now, one single equation in f.
Answer by MathTherapy(10816)   (Show Source): You can put this solution on YOUR website!
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?
*******************************************************************
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

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