SOLUTION: A salesperson's weekly paycheck is 25% less than her coworker's paycheck. The two paychecks total $655. Find the amount of each paycheck. (Round your answer to 2 decimal places.)

Question 345434: A salesperson's weekly paycheck is 25% less than her coworker's paycheck. The two paychecks total $655. Find the amount of each paycheck. (Round your answer to 2 decimal places.)
Found 3 solutions by mananth, haileytucki, MathTherapy:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
let co-worker get $x
he will get 0.25x less
= x-0.25x
...
their sum = $ 655
x+x-0.25x=625
2x-0.25x=625
1.75x=625
/1.75
x= 625/1.75
x=$357.14 co-worker's check
$267.85 his check

Answer by haileytucki(390)   (Show Source): You can put this solution on YOUR website!
x+y=655_x=3y
Move all terms containing variables to the left-hand side of the equation.
x+y=655_x-3y=0
Multiply the first equation by -1 to make the coefficients of x have opposite signs.
-(x+y)=-(655)_x-3y=0
Multiply -1 by the 655 inside the parentheses.
-(x+y)=-655_x-3y=0
Multiply -1 by each term inside the parentheses.
-x-y=-655_x-3y=0
Add the two equations together to eliminate x from the system.
x-3y=0_- x-y=-655_ -4y=-655
Divide each term in the equation by -4.
y=(655)/(4)
Substitute the value found for y into the original equation to solve for x.
-x-((655)/(4))=-655
Multiply -1 by each term inside the parentheses.
-x-(655)/(4)=-655
Move all terms not containing x to the right-hand side of the equation.
-x=-(1965)/(4)
Multiply -x by -1 to get x.
x=-(1965)/(4)*-1
Divide each term in the equation by -1.
x=(1965)/(4)
This is the final solution to the independent system of equations.
y=(655)/(4)_x=(1965)/(4)
(655)/(4)
The approximate value of (655)/(4) is 163.75.
$163.75
(1965)/(4)
The approximate value of (1965)/((4)) is 491.25.
491.25
491.25+163.75
To check the answers of 163.75 AND 491.25:
Add 163.75 to 491.25 to get 655.
655
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
A salesperson's weekly paycheck is 25% less than her coworker's paycheck. The two paychecks total $655. Find the amount of each paycheck. (Round your answer to 2 decimal places.)

Let the coworker's paycheck be C

Since the salesperson's paycheck is 25% less than her coworker's paycheck, then the salesperson's paycheck is .75C

Since the two paychecks = $655, we'll have: C + .75C = 655

1.75C = 655

C, or coworker's paycheck = = $
Salesperson's paycheck = $655.00 - $374.29 = $
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