SOLUTION: My weekly paycheck is 15% less than my coworker's. The two paychecks total:$645 Find the amount of each paycheck. Answer: co-worker $348.65 my ck $296.35 Need the steps, I keep com

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: My weekly paycheck is 15% less than my coworker's. The two paychecks total:$645 Find the amount of each paycheck. Answer: co-worker $348.65 my ck $296.35 Need the steps, I keep com      Log On


   



Question 457313: My weekly paycheck is 15% less than my coworker's. The two paychecks total:$645 Find the amount of each paycheck. Answer: co-worker $348.65 my ck $296.35 Need the steps, I keep coming up with the wrong answer, frustrated. Thank you
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = the larger paycheck
Let b = the smaller paycheck
given:
+b+=+a+-+.15a+
(1) +b+=+.85a+
(2) +a+%2B+b+=+645+
Substitute (1) into (2)
(2) +a+%2B+.85a+=+645+
(2) +1.85a+=+645+
(2) +a+=+348.65+ (rounded off )
and, since
(2) +a+%2B+b+=+645+
(2) +348.65+%2B+b+=+645+
(2) +b+=+645+-+348.65+
(2) +b+=+296.35+ (rounded off)