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=(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