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):
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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?
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):
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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?
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        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):
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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