Answer: 239,306 total registered doctors
Step-by-step explanation:
1. Form the ratio of amount of female doctors(41,400) to total amount of doctors(x) and compare it to percent of female doctors in the field(17.3) to total percent of doctors(100).
[tex]\frac{41400}{x}=\frac{17.3}{100}[/tex]
2. Cross Multiply the amount of female doctors(41,400) to the total percent of doctors(100) so that it stays equal to the percent of female doctors(17.3) to the amount of doctors(x).
[tex]41400*100 = 17.3x[/tex]
3. Simplify
- Start by multiplying the amount of female doctors(41,400) by the total percent(100) to get 4.240.000 to keep both sides equal[tex]414*10^{4} = 17.3x[/tex]
- Then apply the division property of equality by dividing both sides of the equality by the percent of female doctors to the amount of doctors(17.3).
[tex]\frac{414*10^{4} }{17.3} = \frac{17.3x}{17.3}[/tex]
- After dividing both sides by 17.3 you will find out that there are about 239,306 registered doctors.
