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A zoo has 15 Emperor penguins. The Emperor penguins make up 30% of all the penguins at the zoo. How many penguins live at the zoo?

A zoo has 1515 Emperor penguins. The Emperor penguins make up 30% 30 \% of all the penguins at the zoo. How many penguins live at the zoo?

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Full solution

Q. A zoo has 1515 Emperor penguins. The Emperor penguins make up 30% 30 \% of all the penguins at the zoo. How many penguins live at the zoo?
  1. Convert to decimal: Write 30%30\% as a decimal.\newline30%=30100=0.3030\% = \frac{30}{100} = 0.30
  2. Identify expression for total number: We know:\newline• Number of Emperor penguins: 1515\newline• 30%30\% is equivalent to 0.300.30\newlineIdentify the expression for the total number of penguins.\newlinePartPercent=Whole\frac{\text{Part}}{\text{Percent}} = \text{Whole}\newlineNumber of Emperor penguinsPercent of Emperor penguins=Total number of penguins\frac{\text{Number of Emperor penguins}}{\text{Percent of Emperor penguins}} = \text{Total number of penguins}\newline150.30\frac{15}{0.30} represents the total number of penguins.
  3. Calculate total number: We found: Total number of penguins = 150.30\frac{15}{0.30}.\newlineCalculate 150.30\frac{15}{0.30}.\newline150.30=50\frac{15}{0.30} = 50\newlineThere are 5050 penguins at the zoo.

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