Math

QuestionA company laid off 1,150 and 2,2352,235 employees, leaving 7,285. How many employees were there initially?

Studdy Solution

STEP 1

Assumptions1. The company laid off1,150 employees in one month. The company laid off,235 employees in another month3. After the layoffs,7,285 employees remained4. No new employees were hired during this period

STEP 2

First, we need to find the total number of employees laid off. We can do this by adding the number of employees laid off in each month.
Totallayoffs=Layoffsinfirstmonth+LayoffsinsecondmonthTotal\, layoffs = Layoffs\, in\, first\, month + Layoffs\, in\, second\, month

STEP 3

Now, plug in the given values for the layoffs in each month to calculate the total layoffs.
Totallayoffs=1,150+2,235Total\, layoffs =1,150 +2,235

STEP 4

Calculate the total number of layoffs.
Totallayoffs=1,150+2,235=3,385Total\, layoffs =1,150 +2,235 =3,385

STEP 5

Now that we have the total number of layoffs, we can find the original number of employees before the layoffs began. This can be found by adding the total number of layoffs to the number of employees remaining.
Originalnumberofemployees=Totallayoffs+RemainingemployeesOriginal\, number\, of\, employees = Total\, layoffs + Remaining\, employees

STEP 6

Plug in the values for the total layoffs and the remaining employees to calculate the original number of employees.
Originalnumberofemployees=3,385+,285Original\, number\, of\, employees =3,385 +,285

STEP 7

Calculate the original number of employees.
Originalnumberofemployees=3,385+7,285=10,670Original\, number\, of\, employees =3,385 +7,285 =10,670The company originally had10,670 employees before the layoffs began.

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