SOLUTION: A salesperson's weekly paycheck is 40% less than her coworker's paycheck. The two paychecks total $680. Find the amount of each paycheck. (Round your answer to 2 decimal places.)

Question 261873: A salesperson's weekly paycheck is 40% less than her coworker's paycheck. The two paychecks total $680. Find the amount of each paycheck. (Round your answer to 2 decimal places.)
Coworkers paycheck_________
Salesperson's paycheck_________
Found 2 solutions by checkley77, drk:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
X+(1-.4)X=680
X+.6X=680
1.6X=680
X=680/1.6
X=$425 COWORKER'S PAYCHECK.
.6*425=$255 SALES PERSON'S CHECK.
PROOF:
425+255=680
680=680
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Let C = coworker paycheck
Let S = salespersons paycheck
--
100% - 40% = 60%, so,
(i)
---
(ii)
by substitution,
(iii) C + .6C = 680}}}
combine like terms to get
(iv)
divide to get
(v)
which means that

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