Question

challenge in a company, 90% of the workers are men. if 510 people work for the company who arent men, how many workers are there in all? use pencil and paper. show two different ways that you can solve this problem.
there are \\(\square\\) workers in all. (type a whole number.)

Explanation:

Step1: Understand the percentage of non - men

We know that 90% of the workers are men. So the percentage of workers who are not men is $100\% - 90\%=10\%$. Let the total number of workers be $x$.

Step2: Method 1 - Proportion using percentage

We know that 10% of $x$ is equal to 510. Mathematically, $10\%\times x = 510$. We can write 10% as a decimal, $0.1$. So the equation is $0.1x = 510$. To solve for $x$, we divide both sides of the equation by 0.1: $x=\frac{510}{0.1}=5100$.

Step3: Method 2 - Proportion using fraction

10% is also equal to $\frac{1}{10}$. So we have the equation $\frac{1}{10}x = 510$. To solve for $x$, we multiply both sides of the equation by 10: $x = 510\times10 = 5100$.

Answer:

5100