Question

russ worked a total of 135 hours during the month of july. he earned $3,600. russ earned $25 per hour each weekday that he worked. he earned $40 per hour each saturday that he worked. how many hours did he work during the weekday? how many hours did he work on the weekend? weekday 110 hours; weekend 25 hours weekday 115 hours; weekend 20 hours weekday 120 hours; weekend 15 hours weekday 125 hours; weekend 10 hours

Explanation:

Step1: Define variables

Let $w$ = weekday hours, $k$ = weekend hours.

Step2: Set up total hours equation

$w + k = 135$

Step3: Set up total earnings equation

$25w + 40k = 3600$

Step4: Solve for $w$ from Step2

$w = 135 - k$

Step5: Substitute $w$ into earnings equation

$25(135 - k) + 40k = 3600$
$3375 - 25k + 40k = 3600$
$15k = 3600 - 3375$
$15k = 225$
$k = \frac{225}{15} = 15$

Step6: Find $w$ using $k=15$

$w = 135 - 15 = 120$

Answer:

Weekday 120 hours; Weekend 15 hours