Question

Your weekly paycheck is 10 percent less than your coworker's. Your two paychecks total $685. Find the amount of each paycheck. Round your answers to the nearest cent

Answer 1

Let:

x = Amount of your paycheck

y = Amount of your coworker paycheck

The 2 paychecks total $685, so:

$x+y=685_{\text{ }}(1)$

Your weekly paycheck is 10 percent less than your coworker's, so:

$x=y-0.1y_{\text{ }}(2)$

Replace (2) into (1):

$\begin{gathered} y-0.1y+y=685 \\ 2y-0.1y=685 \\ 1.9y=685 \\ y=\frac{685}{1.9} \\ y\approx360.53 \end{gathered}$

Replace y into (2):

$\begin{gathered} x=360.53-0.1\cdot360.53 \\ x\approx324.48 \end{gathered}$

Answer:

Your paycheck is $324.48 and your coworker's is $360.53