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QuestionFind the average bonus for 6 employees at \$940, 4 at \$820, and 5 at \$1,150.

Studdy Solution

STEP 1

Assumptions1. Six employees received a bonus of 940each.Fouremployeesreceivedabonusof940 each. Four employees received a bonus of 820 each3. Five employees were paid a bonus of $1,150 each4. We are asked to find the average bonus paid to these employees

STEP 2

First, we need to find the total bonus amount paid to all employees. We can do this by multiplying the bonus amount by the number of employees for each bonus category, and then adding these amounts together.
Total bonus=(Number of employees in category 1timesBonus amount in category 1)+(Number of employees in category 2timesBonus amount in category 2)+(Number of employees in category timesBonus amount in category )Total\, bonus = (Number\, of\, employees\, in\, category\,1 \\times Bonus\, amount\, in\, category\,1) + (Number\, of\, employees\, in\, category\,2 \\times Bonus\, amount\, in\, category\,2) + (Number\, of\, employees\, in\, category\, \\times Bonus\, amount\, in\, category\,)

STEP 3

Now, plug in the given values for the number of employees and bonus amounts in each category to calculate the total bonus.
Total bonus=(6times$940)+(times$820)+(5times$1,150)Total\, bonus = (6 \\times \$940) + ( \\times \$820) + (5 \\times \$1,150)

STEP 4

Calculate the total bonus amount.
Total bonus=(6times$940)+(4times$820)+(times$1,150)=$,640+$3,280+$,750=$14,670Total\, bonus = (6 \\times \$940) + (4 \\times \$820) + ( \\times \$1,150) = \$,640 + \$3,280 + \$,750 = \$14,670

STEP 5

Now that we have the total bonus amount, we can find the average bonus paid to the employees. This can be done by dividing the total bonus by the total number of employees.
Average bonus=Total bonus/Total number of employeesAverage\, bonus = Total\, bonus / Total\, number\, of\, employees

STEP 6

Calculate the total number of employees.
Total number of employees=6+4+5=15Total\, number\, of\, employees =6 +4 +5 =15

STEP 7

Now, plug in the values for the total bonus and the total number of employees to calculate the average bonus.
Average bonus=$14,670/15Average\, bonus = \$14,670 /15

STEP 8

Calculate the average bonus amount.
Average bonus=$14,670/15=$978Average\, bonus = \$14,670 /15 = \$978The average bonus paid to the employees was $978.

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