A salesperson's weekly paycheck is 10% less than a second salesperson's paycheck. The two paychecks total $1075. Find the amount of each paycheck. (Round your answers to the nearest cent.)

Question

mathstudent55 · Answer

Let's say the person who earns the larger paycheck earns 100% of an unknown paycheck.
We will say that that person earns 100%x
Ok?

anonymous · Answer

okay

mathstudent55 · Answer

The other person earns 10% less, so that person earns 90%x.

mathstudent55 · Answer

The two paychecks total $1075, so
100%x + 90%x = 1075

mathstudent55 · Answer

Now we can make the equation simpler.
100% as a decimal is simply 1
90% as a decimal is simply 0.9

mathstudent55 · Answer

That means our equation is
x + 0.9x = 1075

mathstudent55 · Answer

Now you need to solve for x.
That will give you the larger paycheck.

mathstudent55 · Answer

Then multiply the larger paycheck by 0.9 to find the smaller paycheck.

anonymous · Answer

thanks soo much. it really helped. :)

wolf1728 · Answer

I think mathstudent left but I'm sure he appreciates the medal.

mathstudent55 · Answer

You're welcome.