#### Answer

73,333

#### Work Step by Step

Dana is cutting 11,000 jobs (15 percent of her company).
We need to find the original size of her work force.
We can use the equation, $.015x=11,000$.
15 percent is equivalent to $\frac{15}{100} = 0.15$
$x$ is the original size of her work force.
When you multiply the original number by the percent you receive the percent of the original number.
In the equation, $0.15x=11,000$, we need to solve for $x$.
To isolate $x$ on the left side of the equation, divide both sides by 0.15.
$\frac{0.15x}{0.15}=\frac{11,000}{0.15}$
Because we are dividing the coefficient of x on the left side by itself, it cancels out.
$x=\frac{11,000}{0.15}$
To finish solving for $x$, divide 11,000 by 0.15.
$x=\frac{11,000}{0.15}=73,333.33333$
We are asked to round the answer to the nearest whole number, which is 73,333.
Check your answer by substituting your answer in for $x$ in the original equation.
$0.15\times73,333.33333=11,000$