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A petting zoo has chickens and rabbits. Altogether there are 35 heads and 94 feet. How many rabbits are there?

A petting zoo has chickens and rabbits. Altogether there are $35$ heads and $94$ feet. How many rabbits are there?

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Add and subtract whole numbers

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Q. A petting zoo has chickens and rabbits. Altogether there are

35

heads and

94

feet. How many rabbits are there?

Define variables: Define the variables for the number of chickens and rabbits. Let's say the number of chickens is $C$ and the number of rabbits is $R$ .
Set up equations: Set up the equations based on the given information. We know that each animal has one head, so the total number of heads (chickens plus rabbits) is $35$ . This gives us the equation $C + R = 35$ .
Second equation for feet: Set up the second equation based on the number of feet. Chickens have $2$ feet each, and rabbits have $4$ feet each. The total number of feet is $94$ . This gives us the equation $2C + 4R = 94$ .
Simplify second equation: Simplify the second equation by dividing all terms by $2$ to make the calculations easier. This gives us $C + 2R = 47$ .
Subtract first equation: Subtract the first equation $C + R = 35$ from the simplified second equation $C + 2R = 47$ to solve for R. This gives us $R = 47 - 35$ .
Calculate value of R: Calculate the value of R. $R = 47 - 35 = 12$ . So, there are $12$ rabbits in the petting zoo.

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