Algebra Question.

[Jonty30]

If you weigh a cat and a rabbit, their total weight is 10kg. If you weigh a dog and rabbit, their total weight is 20kg. If you weigh the dog and cat, their total weight is 24kg.

How much do all three weight together?

[PaulZe]

why do you need all the algebra. you know from the from the question that c has to be 4 greater than r. What 2 numbers add up to 10 where one number is 4 greater than the other. the answer is 7 and 3. So C is 7 and R is 3. since c is 7...d has to be 17 to add up to 24. Add all 3 together and you get 27...easy peasy
.

[mabarker1]

π r round, cake r²

[Vendome]

[gundog]

[sparrowsong]

Thank you for the brain teaser! I enjoyed solving it.

[Still Thinking]

17/7/3

d + c = d + r + 4

Therefore c = r + 4. If c + r = 10, then c = 7 & r = 3

The d must be 17

[Olog-hai]

Kilograms are a measurement of mass, not weight.

[Gene Eric]

>> (10 +20+24)/2 => 27

Nice, and here's the work...

         dog + rabbit = 20g
         cat + rabbit = 10g
         cat + dog    = 24g
---------------------------
2dog + 2rabbit + 2cat = 54g

2(dog + rabbit + cat) = 54g

   dog + rabbit + cat = 27g

[Ronaldus Magnus]

x = cat
y = rabbit
z = dog

x + y = 10
z + y = 20
z + x = 24

y = 10 - x
z = 24 - x

(24 - x) + (10 - x) = 20
34 - 2*x = 20
2*x = 34 - 20
2*x = 14
x = 7

y = 10 - 7
y = 3

z = 24 - 7
z = 17

[Tired of Taxes]

I had to solve it the long way:

c + r = 10
d + r = 20
d + c = 24
2c + 2d + 2r = 54

(2c + 2d + 2r)/2 = 54/2

c + d + r = 27

c = 27 - (d + r)
c = 27 - 20
c = 7

d = 27 - (c + r)
d = 27 - 10
d = 17

r = 27 - (d + c)
r = 27 - 24
r = 3

[zeugma]

The cat’s weight is entirely dependent upon whether or not it is sitting on your lap or not.

[4Liberty]

10 + 20 = 24 - 2X

30 - 24 = -2X

-6 = -2X

3 = rabbit

3 + 24 = all three

[KTM rider]

sorry, but Algebra has ben replaced by "Social Media Consensus"

and on top of that Algebra is racist

[gas_dr]

What a hare brained problem 😂

[zipper]

very direct and easy:

C+R=10
D+R=20
D+C=24

combining all three equations,
2C+2D+sR=54

divide each side by 2,
C+D+R=27

[Waverunner]

Everyone forgot to convert kilograms to pounds and ounces, because by god, we are not on the metric system, which I would point out was invented by the French.
And in France, they eat all three of the items used in the problem. So it was probably some chef who needed the problem solved.

[doorgunner69]

What I got.

Good old fashioned stuff, still works
dog 17
Cat 7
Rabbit 3

[doorgunner69]

Called simultaneous equations, IIRC

[doorgunner69]

Dude!
Like, you know, math is HARD Dude!

/millennial

[FlyingEagle]

Should I use Cat weight only or Cat+CatLady weight?

And what is she has, you know, “several” cats? How many of her cats should be included?

I thought this was to be just algebra but it is starting to look a lot more complicated.