Question

Set up and solve a proportion to solve the problem.



Samantha raises animals and trains them to appear in Hollywood movies. Currently,
23
23 of her penguins are appearing in a film about climate change. That is
92
%
92% of the penguins Samantha has raised. How many penguins has she raised?



penguins

Answer 1

To find out how many penguins Samantha has raised, we can set up the proportion based on the information given.

Let \( x \) be the total number of penguins that Samantha has raised. According to the problem, 23 penguins represent 92% of her total penguins. We can set up the following proportion based on this relationship:

\[
\frac{23}{x} = \frac{92}{100}
\]

Now, we can solve this proportion. Cross-multiply to get:

\[
23 \cdot 100 = 92 \cdot x
\]

This simplifies to:

\[
2300 = 92x
\]

Next, solve for \( x \) by dividing both sides by 92:

\[
x = \frac{2300}{92}
\]

Now, calculating:

\[
x = 25
\]

Thus, Samantha has raised **25 penguins**.