QuestionFind Rosalyn's regular hourly wage given she worked 44 hours and earned \$1025, with overtime pay at 2.5 times her wage.

Studdy Solution

STEP 1

Assumptions1. Rosalyn worked44 hours in one week. . She earned a total of $1025 in that week.
3. She earns.5 times her regular hourly wage for the hours she works in excess of40 hours.
4. We need to find Rosalyn's regular hourly wage.

STEP 2

First, we need to find out how many hours Rosalyn worked at her regular wage and how many hours she worked at2.5 times her regular wage. Since she worked44 hours and she earns2.5 times her regular wage for hours in excess of40, she worked40 hours at her regular wage and4 hours at2.5 times her regular wage.
$Regular\, hours =40$ $vertime\, hours =44 -40 =4$

STEP 3

Let's denote Rosalyn's regular hourly wage as $x$ . Therefore, her earnings for the regular hours is $40x$ and for the overtime hours is $\times2.5x$ .

STEP 4

The total earnings of Rosalyn is the sum of her earnings for the regular hours and the overtime hours. This is given as $102.
$Total\, earnings =arnings\, for\, regular\, hours +arnings\, for\, overtime\, hours$ $\$102 =40x +4 \times2.x$

STEP 5

implify the equation.
$\$1025 =40x +10x$

STEP 6

Combine like terms.
$\$1025 =50x$

STEP 7

Now, we can solve for $x$ by dividing both sides of the equation by50.
$x = \$1025 /50$

STEP 8

Calculate the value of $x$ .
$x = \$1025 /50 = \$20.5$ Rosalyn's regular hourly wage is $20.5.

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