SOLUTION: A salesperson's weekly paycheck is 10% less than her coworker's paycheck. The two paychecks total $660. Find the amount of each paycheck. (Round your answer to 2 decimal places.)

Question 346081: A salesperson's weekly paycheck is 10% less than her coworker's paycheck. The two paychecks total $660. Find the amount of each paycheck. (Round your answer to 2 decimal places.)
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A salesperson's weekly paycheck is 10% less than her coworker's paycheck. The two paychecks total $660. Find the amount of each paycheck. (Round your answer to 2 decimal places.)
.
Let x = coworker's paycheck
then
x-.10x = salesperson's paycheck
.
x + (x-.10x) = 660
x + x(1-.10) = 660
x + x(.90) = 660
x + .90x = 660
x(1+.90) = 660
x(1.9) = 660
x = 660/1.9
x = $347.37 (coworker)
.
Salesperson:
x-.10x = x-.10x = x(.90) = 347.37(.90) = $312.63
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