SOLUTION: A salesperson's weekly paycheck is 10% more than a second salesperson's paycheck. The two paychecks total $1125. Find the amount of each paycheck.

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Question 844301: A salesperson's weekly paycheck is 10% more than a second salesperson's paycheck. The two paychecks total $1125. Find the amount of each paycheck.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = 1st salesperson's check
Let +b+ = 2nd salesperson's check
given:
(1) +a+%2B+b++=+1125+
(2) +a+=+b+%2B+.1b+
------------------
Substitute (2) into (1)
(1) +b+%2B+.1b+%2B+b+=+1125+
(1) +2.1b+=+1125+
(1) +b+=+535.71+
and
(2) +a+=+b+%2B+.1b+
(2) +a+=+1.1%2A535.71+
(2) +a+=+589.29+
The 1st salesperson's check is $589.29
The 2nd salesperson's check is $535.71
check:
+1125+=+589.29+%2B+535.71+
+1125+=+1125+
OK