Final answer:
To find Ray's hourly wages at his two jobs, a system of linear equations was formed. Ray's hourly pay at Mud Off Car Wash is $9.65, and at Stuck-in-the-Mud Offroad Trails, it's $12.00.
Step-by-step explanation:
Ray works a total of 70 hours per week between two jobs. To find his pay per hour at each job, we can set up a system of linear equations. Let's assume Ray's hourly wage at Mud Off Car Wash is x dollars per hour and at Stuck-in-the-Mud Offroad Trails is x + $2.35 per hour. We know that Ray worked 45 hours at the car wash and 25 hours at the offroad trails, and his total weekly pay is $734.25.
- The total pay from Mud Off Car Wash is 45x dollars.
- The total pay from Stuck-in-the-Mud Offroad Trails is 25(x + $2.35) dollars.
We can set up our equation based on the above information:
45x + 25(x + $2.35) = $734.25
Solving this equation, we first distribute the 25 across the terms inside the parentheses:
45x + 25x + $58.75 = $734.25
Combine like terms:
70x + $58.75 = $734.25
To find x, subtract $58.75 from both sides
70x = $675.50
Divide both sides by 70:
x = $9.65
Therefore, Ray's pay per hour at Mud Off Car Wash is $9.65. To find Ray's pay per hour at Stuck-in-the-Mud Offroad Trails, add $2.35 to $9.65:
x + $2.35 = $9.65 + $2.35
= $12.00
Ray's pay per hour at Stuck-in-the-Mud Offroad Trails is $12.00.