Question

a manufacturing plant is running at a deficit. to avoid layoffs, the workers agree on a temporary wage cut of 2%. if the average salary in the plant after the wage cut is $32,100, what was the average salary before the wage cut? the average salary before the wage cut was $ (round to two decimal places as needed.)

Explanation:

Step1: Let original salary be $x$.

Let the average salary before the wage - cut be $x$. After a 2% wage - cut, the remaining salary is $(1 - 0.02)x=0.98x$.

Step2: Set up the equation.

We know that $0.98x = 32100$.

Step3: Solve for $x$.

$x=\frac{32100}{0.98}\approx32755.10$.

Answer:

$32755.10$