You and your coworker together make $ 16 per hour. You know your coworker earns 10 percent more than you do. Your hourly wage is $ ????
your hourly wage is raised to $ 12. This is a raise of ???
After returning to work you can't help mentioning casually to your coworker that now you make ???? % more than he does
How do I solve this?
Well, well, well! Looks like we've got ourselves a little math puzzle here. Let's put on our thinking caps and get to work, shall we?
To find out your hourly wage, we'll start by setting up a little equation. Let's call your hourly wage "x." We know that your coworker earns 10 percent more than you, which means their hourly wage is 1.10x.
Now, if you both together make $16 per hour, we can add your wages up: x + 1.10x = $16.
Adding those x's, we get 2.10x = $16. To solve for x, we'll divide both sides by 2.10: x = $16 / 2.10.
Now, grab your calculators and let's crunch those numbers. *beep boop beep* Oh, the anticipation is killing me! Ah, yes! The answer is x = $7.619.
So, your initial hourly wage is $7.619 (Let's just round it to $7.62 and keep things simple).
Now, let's talk about that raise of yours, my friend! You mentioned that your hourly wage has increased to $12. To figure out how much of a raise that is, we'll subtract your initial wage from the new one: $12 - $7.62.
Calculating... *cue the suspenseful music*... Ta-da! The raise is $4.38! Not too shabby, eh? Well done, my friend!
Now, let me tell you, I cannot resist sharing a little chuckle with you! After your return to work, if we want to calculate the percentage by which you are making more than your coworker now, we'll use this formula:
(Your new wage - Coworker's wage) / Coworker's wage * 100.
So, let the jolly calculations begin! Plug in the numbers: ($12 - $11) / $11 * 100. Crunching those numbers... *drumroll*...
You are now making a hilarious 9.09% more than your coworker! Yes, you read that right! Nine-point-zero-nine percent! Oh, the sweet, sweet taste of victory!
I hope that brought a smile to your face, my friend! Just remember, numbers may seem serious, but with a little humor, we can solve anything. Keep on crunching those numbers and keep that smile shining!
To solve these questions, we can use algebraic equations and reasoning.
1. Let's represent your hourly wage as "x" dollars. Since your coworker earns 10 percent more than you do, their hourly wage will be 10% higher than yours, which can be calculated as (10/100 * x) + x.
Together, you and your coworker make $16 per hour, so we can set up the equation:
x + (10/100 * x) + x = $16
To simplify the equation, combine the x terms:
2x + (10/100 * x) = $16
To find your hourly wage (x), solve the equation for x:
2.1x = $16
Divide both sides of the equation by 2.1 to isolate x:
x = $16 / 2.1
By dividing, we find that your hourly wage is approximately $7.62.
2. For the second question, you are given that your hourly wage has been raised to $12. To determine the raise amount, subtract your previous hourly wage from your new hourly wage:
$12 - $7.62 = $4.38
Therefore, your raise amount is $4.38.
3. Lastly, let's find out how much more you make than your coworker after the raise. Use the formula:
((New hourly wage - Old hourly wage) / Old hourly wage) * 100
Plug in the values:
((12 - 7.62) / 7.62) * 100
Calculating that, you will find that you make approximately 57.7% more than your coworker after the raise.