SOLUTION: A sum of $2000 is invested, part of it at 5% interest and the remainder at 9%. If the interest earned by the 9% investment is$110 more than the interest earned by the 5% investment

Question 912235: A sum of $2000 is invested, part of it at 5% interest and the remainder at 9%. If the interest earned by the 9% investment is$110 more than the interest earned by the 5% investment, find the amount invested at each rate.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
A sum of $2000 is invested, part of it at 5% interest and the remainder at 9%. If the interest earned by the 9% investment is$110 more than the interest earned by the 5% investment, find the amount invested at each rate.
A sum of $2000 is invested, part I at 5% interest
and the remainder (2000-x) at 9%.
interest from 9% = 9%(2000-x)
Interest from 5% = 5%x

9%(2000-x) - 5%x=$110
multiply by 100
9(2000-x)-5x=11000
18000-9x-5x=11000
-14x= 11000-18000
-14x=-7000
/-14
x=-7000/-14
x= 500..................5%
1500 @ 9%
RELATED QUESTIONS
A sum of 6000 is invested, part of it at 9% interest and the remainder at 11%. If the... (answered by addingup)

A sum of $2300 is invested, part of it at 5% interest and the remainder at 6%. If the... (answered by mananth)

"A sum of $3300 is invested, part of it at 10% interest and the remainder at 12%. If the... (answered by mananth)

A sum of $2,450 is invested, part of it at 11% interest and the remainder at 14%. If the... (answered by mananth)

a sum of 6500 is invested, part of it at 6% interest and the remainder at 11%. If the... (answered by stanbon)

Sam earned 1155 in interest on a total investment 15000 this past year, if part of the... (answered by Earlsdon)

Cyril invested part of 185000 at 7% and the rest at 9%. If the interest from the 9%... (answered by checkley79)

a total of $7000 is invested: part at 5% and the remainder at 9%. how much is invested at (answered by FrankM)

26,876 is invested, part at 9% and the rest at 5%. If the interest earned from the amount (answered by mananth)