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16% of the cows have already had calves. 32 have not had calves yet. How many are in the herd?

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Answer:

There are approximately 38 cows in the herd.

Explanation:

In this problem, we are asked to find the number of cows in a herd, given that 16% of the cows have already given birth to calves and 32 have not yet done so.

Assuming there are no other types of cows in the herd, we can determine that the 32 cows that have not had calves make up 84% of the herd, since they are what is left over when 16% is subtracted from 100% (the whole herd).


100\%-16\% = 84\%

We can now create a equation that shows that 84% of the herd is 32 cows, representing the total number of cows in the herd as x.


32 \text{ cows} = 84\% \cdot x

Finally, to solve for the number of cows in the herd, we can multiply both sides by 100/84.


(100)/(84)(32 \text{ cows}) = (84\% \cdot x)(100)/(84)


x \approx 38 \text{ cows}

So, there are approximately 38 cows in the herd.

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