merin earns 1.5 times her normal hourly rate for each hour she works after 40 hours in a week. she worked 48 hours this week and earend 650. What is her normal hourly rate
the 8 hours of overtime resulted in 12 hours pay
normal rate = 650 / (40 + 12)
To find Merin's normal hourly rate, we need to follow these steps:
1. Calculate the number of hours worked after 40 hours: 48 - 40 = 8 hours
2. Calculate the additional earnings for working those 8 hours: 8 x (1.5 x normal hourly rate) = 12 x normal hourly rate
3. Subtract the additional earnings from the total earnings to find the earnings for the first 40 hours: $650 - 12 x normal hourly rate = earnings for the first 40 hours
4. Divide the earnings for the first 40 hours by 40 to find the normal hourly rate.
Let's solve it step by step:
Step 1: The number of hours worked after 40 hours is 48 - 40 = 8 hours.
Step 2: Calculate the additional earnings for those 8 hours by multiplying 8 with 1.5 times the normal hourly rate or 8 x (1.5 x normal hourly rate) = 12 x normal hourly rate.
Step 3: Subtract the additional earnings from the total earnings to find the earnings for the first 40 hours, so $650 - 12 x normal hourly rate = earnings for the first 40 hours.
Step 4: Divide the earnings for the first 40 hours by 40 to find the normal hourly rate: (earnings for the first 40 hours) / 40 = normal hourly rate.
Simplifying step 3 and 4:
$650 - 12 x normal hourly rate = earnings for the first 40 hours.
(earnings for the first 40 hours) / 40 = normal hourly rate.
Now, we can substitute step 3 into step 4:
($650 - 12 x normal hourly rate) / 40 = normal hourly rate.
Solving this equation will give you the value of Merin's normal hourly rate.