Question

*17. the young elephant was 36 months old. how many years old was the elephant?
answer:
*19. one eighth of a circle is $12\frac{1}{2}\\%$ of a circle. what percent of a circle is $\frac{3}{8}$ of a circle?

Explanation:

Question 17

Step1: Recall the conversion factor

We know that 1 year = 12 months. So to convert months to years, we divide the number of months by 12.

Step2: Perform the calculation

The elephant is 36 months old. So the age in years is $36\div12 = 3$.

Step1: Analyze the given information

We know that $\frac{1}{8}$ of a circle is $12\frac{1}{2}\%$ (or $0.125$ or $\frac{1}{8}$ in decimal/fraction form). We need to find what percent $\frac{3}{8}$ of a circle is.

Step2: Use the relationship

Since $\frac{1}{8}$ corresponds to $12\frac{1}{2}\%$, then $\frac{3}{8}$ is 3 times $\frac{1}{8}$. So we multiply $12\frac{1}{2}\%$ by 3.
First, convert $12\frac{1}{2}\%$ to decimal: $12\frac{1}{2}\%= 0.125$. Then $0.125\times3 = 0.375$. Convert 0.375 back to percentage: $0.375\times100\% = 37.5\%$ (or $37\frac{1}{2}\%$).

Answer:

The elephant was 3 years old.

Question 19