Question

if 9 out of 10 doctors in a small city recommend afternoon naps, and there are 8 doctors in the city who dont recommend naps, how many doctors in the city do recommend afternoon naps?

Explanation:

Step1: Find the fraction of doctors who don't recommend naps

Since 9 out of 10 recommend naps, the fraction of those who don't is $1 - \frac{9}{10}=\frac{1}{10}$.

Step2: Let the total number of doctors be \( x \)

We know that $\frac{1}{10}$ of \( x \) is 8 (the number of doctors who don't recommend naps). So we set up the equation $\frac{1}{10}x = 8$.

Step3: Solve for \( x \)

Multiply both sides of the equation by 10: \( x=8\times10 = 80 \).

Step4: Find the number of doctors who recommend naps

Since 9 out of 10 recommend naps, the number is $\frac{9}{10}\times80 = 72$.

Answer:

72