# 118786480_2411133825862495_6843816842288783473_n

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## Why are you reporting this puzzle?

2. JennyG660:26
3. Emmergee0:27
4. jls260:28
5. irena26020:30
6. Norsos10:32
7. iceng0:34
8. Ianto0:37
9. maluelliott0:37
10. Zebrapleco10:37

:)

Well done alias2v! Algebraic equations can be so cumbersome and when logic is applied, it makes the "steps" appear unnecessary. Best Wishes!

Brilliant @alias2v, Alex :-))

Cat+Rabbit + Dog+Rabbit + Cat+Dog = 2Cats + 2Dogs + 2Rabbits
10 + 20 + 24 = 54
If two of each is 54, then one of each is 27.

Three simultaneous Unknowns and three relationships
___GIVEN___
a) R + C = 10 = Rabbit + Cat
b) R + D = 20 = Rabbit + Dog
c) C + D = 24 = Cat + Dog

___Step_1 _ [b] - [a]
_b) R + D = 20
-a) -R - C = -10
-------------------
D - C = 10

___Step_2_ [s1] + [c]
s1) D - C = 10
_c) D + C = 24
--------------------
2D = 34 ~~~~~~ [s2] ~ D = 17 Kg

___Step_3_ [c] - [s2]
__c) D + C = 24
-s2) -D = -17
--------------------
~~~~~~[s3] ~ C = 7 Kg

___Step_4_ [a] - [s3]
__a) R + C = 10
-s3) - C = - 7
-------------------------
~~~~~~~[s4] ~ R = 3 Kg

R + C + D = ?
3 + 7 + 17 = 27 Kg
.

Hi grandmalucy: This problem can be solved with/guess & check because of the small numbers and pictures involved. But you seem to want to do it using algebra, so maybe this helps:

I like to assign the same letters as the items: rabbit is r...cat is c...and dog is d. What does r+c+d equal? Using the words instead might make it easier to see the solution. (I hope Jigidi keeps my formatting.)

rabbit plus cat =10 kg
dog plus rabbit = 20 kg
dog plus cat = 24 kg

rabbit + cat + dog + rabbit =10 kg +20 kg

Put the rabbits together:
rabbit + rabbit + cat + dog = 10 kg + 20kg

Change cat + dog to match info given:
rabbit + rabbit + dog + cat = 30 kg

Info states dog + cat = 24 kg
That number can now replace dog + cat:

rabbit + rabbit + 24 kg = 30 kg

So

2 rabbits + 24 kg = 30 kg

2 rabbits = 30 kg - 24 kg

2 rabbits = 6 kg

1 rabbit = 3 kg

Now, using that info, the problem is solved by substituting 3 kg for rabbit:

rabbit equals 3 kg
cat equals 7 kg (10 kg - 3 kg)
dog equals 17 kg (24 kg - 7 kg)

Rabbit + cat + dog = 27 kg

Algebraic formula: r+c+d = 27 kg

Got it. Thanks, Lucy.

27. And I did it in my head. And I'm old. Feeling proud this morning.
Now to solve the puzzle and THEN I'll feel old!
Thanks, Lucy; this was fun.
~M.G.

It’s easier if you change it to algebra on paper

this type of math is very hard for me. no concept of how to do it