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.)

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> 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.)       Log On


   



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) About Me  (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) About Me  (Show Source):
You can put this solution on YOUR website!
Let C = coworker paycheck
Let S = salespersons paycheck
--
100% - 40% = 60%, so,
(i) S+=+.6C
---
(ii) C+%2B+S+=+680
by substitution,
(iii) C + .6C = 680}}}
combine like terms to get
(iv) 1.6C+=+680
divide to get
(v) C+=+425
which means that
s+=+255