SOLUTION: Your weekly paycheck is 25 percent less than your coworker's. Your two paychecks total 820 . Find the amount of each paycheck. Your coworker's is : and yours is

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: Your weekly paycheck is 25 percent less than your coworker's. Your two paychecks total 820 . Find the amount of each paycheck. Your coworker's is : and yours is       Log On


   

Question 992318: Your weekly paycheck is 25 percent less than your coworker's. Your two paychecks total 820 . Find the amount of each paycheck.
Your coworker's is : and yours is .
Given your answers to the nearest cent
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount of your co-worker's check
+x+-+.25x+=+.75x+ = amount of your check
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+x+%2B+.75x+=+820+
+1.75x+=+820+
+x+=+820%2F1.75+
+x+=+468.57+
and
+.75x+=+.75%2A468.57+
+.75x+=+351.43+
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co-worker's check: $468.57
Your check: $351.43
-------------------
Check:
+468.57+%2B+351.43+=+820+
+820+=+820+
OK