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A zoo has 15 emperor penguins that make up 30% of the total penguins at the zoo. How many penguins live at the zoo?

A zoo has $15$ emperor penguins that make up $30 \%$ of the total penguins at the zoo. How many penguins live at the zoo?

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Find what percent one number is of another

Full solution

Q. A zoo has

15

emperor penguins that make up

30 \%

of the total penguins at the zoo. How many penguins live at the zoo?

Understand the problem: Understand the problem. $\newline$ We are given that $15$ emperor penguins represent $30\%$ of the total penguin population at the zoo. We need to find the total number of penguins.
Set up the equation: Set up the equation. $\newline$ Let the total number of penguins be represented by $P$ . We can express $30\%$ as $0.30$ , so the equation is: $\newline$ $15 = 0.30 \times P$
Solve for P: Solve for P. $\newline$ To find P, we divide both sides of the equation by $0.30$ : $\newline$ $P = \frac{15}{0.30}$
Calculate total: Calculate the total number of penguins. $P = \frac{15}{0.30} = 50$

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