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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? penguins

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

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Q. A zoo has 1515 Emperor penguins. The Emperor penguins make up 30% 30 \% of all the penguins at the zoo.\newlineHow many penguins live at the zoo?\newlinepenguins
  1. Understand Problem: Understand the problem and identify the given information.\newlineWe know that Emperor penguins make up 30%30\% of all the penguins at the zoo, and there are 1515 Emperor penguins. We need to find the total number of penguins at the zoo.
  2. Set Up Equation: Set up the equation to find the total number of penguins.\newlineLet the total number of penguins be represented by xx. According to the problem, 30%30\% of xx is equal to 1515.\newlineSo, the equation is 0.30×x=150.30 \times x = 15.
  3. Solve Equation: Solve the equation for xx.\newlineTo find xx, divide both sides of the equation by 0.300.30.\newlinex=150.30x = \frac{15}{0.30}
  4. Perform Division: Perform the division to find the total number of penguins. x=150.30x = \frac{15}{0.30} x=50x = 50
  5. Verify Solution: Verify the solution.\newlineIf there are 5050 penguins in total and 30%30\% are Emperor penguins, then 30%30\% of 5050 should be 1515.\newline0.30×50=150.30 \times 50 = 15\newlineThis is true, so our solution is correct.

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