SOLUTION: Mark invested his money at 9% interest rate while Sarah invested her money at 5% interest rate. If Mark invested $1,000 more than what Sarah did and the combined amount of interest

Question 1154337: Mark invested his money at 9% interest rate while Sarah invested her money at 5% interest rate. If Mark invested $1,000 more than what Sarah did and the combined amount of interest earned after a year is $790.00, how much did each person invest?
Answer by ramkikk66(644) (Show Source): You can put this solution on YOUR website!

Ans:
Say Mark invested x dollars.
Then Sarah invested (x - 1000) dollars
Interest earned by Mark =
Interest earned by Sarah = =
Total interest = 790
So we have the equation

Moving constants to one side and variables to the other side
or
So Mark invested 6000 dollars and Sarah invested (6000 - 1000) = 5000 dollars.
Check
Interest for Mark =
Interest for Sarah =
Total interest = Check successful!
Ans: Mark = $6000, Sarah = $5000

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