Your weekly paycheck is 30 percent less than your coworker's. Your two paychecks total 695. Find the amount of each paycheck.
Your coworker's is : and yours is .
co-workers check -- x
your check ------- .7x
x + .7x = 695
1.7x = 695
x = 408.82
co-wks = $408.82
yours = .7(408.82) = $286.18
add them up to verify my answer
companywide we have to take a 30% paycut deferment. here This is what I've been taking home. What will 30% look like?
gross-720.00
net- 559.41
Let's use variables to represent the unknown amounts. Let's call your coworker's paycheck amount "x."
According to the problem, your weekly paycheck is 30 percent less than your coworker's. This means your paycheck is 70 percent (100% - 30%) of your coworker's paycheck.
Mathematically, we can represent your paycheck as 0.7x.
The problem also states that the total of both paychecks is $695. So, we can set up the following equation:
x + 0.7x = 695
To solve this equation, we combine the like terms on the left side of the equation:
1.7x = 695
Next, we divide both sides of the equation by 1.7 to isolate the variable x:
x = 695 / 1.7
Using a calculator, we find:
x ≈ 408.82
So, your coworker's paycheck amount is approximately $408.82.
To find your paycheck amount, we substitute this value of x into the expression 0.7x:
0.7 * 408.82 ≈ 286.18
Therefore, your paycheck amount is approximately $286.18.
To find the amount of each paycheck, let's start by assigning variables.
Let's say your coworker's paycheck is represented by "C" and your paycheck is represented by "Y."
According to the given information, your paycheck is 30% less than your coworker's paycheck. Therefore, we can write the following equation:
Y = C - 0.30C
We also know that the sum of your paycheck and your coworker's paycheck is $695. Thus, we can write the second equation:
Y + C = $695
To solve this system of equations, we have multiple approaches.
One way is to substitute the value of Y from the first equation into the second equation:
(C - 0.30C) + C = $695
Simplifying the equation:
1.0C - 0.30C + C = $695
1.7C = $695
C = $695 / 1.7
C ≈ $408.82
Now we can substitute the value of C back into the first equation to find Y:
Y = $408.82 - 0.30($408.82)
Y ≈ $408.82 - $122.65
Y ≈ $286.17
Therefore, your coworker's paycheck is approximately $408.82, and your paycheck is approximately $286.17.