Alice earns 1.5 times her hourly rate for each hour she works after 40 hours in a week. She worked 50 hours this week and earned $660. What is her normal hourly rate?
I know her average rate is $13.20, but I know that's not what I need to find and I don'tunderstand how to get the answer. Can I just get a formula on how to do this, and I can do the rest. Thank you.
oops I meant 3 years ago. Now I know why I couldn't solve this!! Yikes
Nevermind, sorry I figured it out.
40x + 10(1.5x)=660
40x + 15x=660
55x=660
Then divide both by 55 to get x by itself and the answer which is 12.
So the hourly rate is $12.
Hey! Not expecting you to answer, knowing that you have made this 4 YEARS AGO, but just curious? Why did you use 40x AND 1.5x? I'm confused! Help?!
To find Alice's normal hourly rate, let's break down the problem step by step:
1. Let's define the following variables:
- x: Alice's normal hourly rate
- y: Alice's overtime hourly rate (1.5 times her normal hourly rate)
- h1: Number of hours worked during the normal workweek (40 hours)
- h2: Number of hours worked as overtime (10 hours in this case)
2. We know that Alice earned $660 in total. We can express this information as an equation:
Total earnings = (hourly rate × hours worked during normal workweek) + (overtime hourly rate × hours worked as overtime)
$660 = (x × h1) + (y × h2)
3. We can substitute the values into the equation:
$660 = (x × 40) + (1.5x × 10)
4. Simplify the equation:
$660 = 40x + 15x
$660 = 55x
5. Solve for x (Alice's normal hourly rate):
To isolate x, divide both sides of the equation by 55:
$660 / 55 = x
$12 = x
Therefore, Alice's normal hourly rate is $12.