In a farm there are ducks and rabbits. In total the sum is 24 animals. If we add all the legs we get 88. How many rabbits are there in the farm?

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There are 20 rabbits.

Step-by-step explanation:

Let D be the number of ducks on the farm and R be the number of rabbits. We get the equation:

D + R = 24

Ducks have 2 legs and rabbits have 4. We know there are 88 legs in total, so we get the equation:

2D + 4R = 88

Rewriting the first equation, we get:

D = 24 - R

Substituting this into the second equation, we get:

2(24 - R) + 4R = 88

Solve for R:

48 - 2R + 4R = 88

2R = 40

R = 20

So there are 20 rabbits and 4 ducks on the farm, with a total of 88 legs.