SOLUTION: Phyllis invested 33000 dollars, a portion earning a simple interest rate of 5 percent per year and the rest earning a rate of 7 percent per year. After one year the total interest

Question 353510: Phyllis invested 33000 dollars, a portion earning a simple interest rate of 5 percent per year and the rest earning a rate of 7 percent per year. After one year the total interest earned on these investments was 2090 dollars. How much money did she invest at each rate?

Found 2 solutions by mananth, robertb:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Phyllis invested 33000 dollars,
portion 5 % - $x
rest at rate of 7% .... 33000-x
Interest earned = 2090 dollars.
...
0.05x+0.07(33000-x)=2090
0.05x +2310-0.07x =2090
-0.02x=2090-2310
-0.02x=-220
x= -220/-0.02
x=$22000 invested @5%
Balance $11000 @7%
...
m.ananth@hotmail.ca
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let x = portion earning at 5% per year.
Then 33000 - x = portion earning at 7%.
Then , the total interest after 1 year.
,
,

is the investment at 5%, and
is the investment at 7%.

RELATED QUESTIONS
Phyllis invested 64000 dollars, a portion earning a simple interest rate of 5 percent per (answered by mananth)
Phyllis invested 35000 dollars, a portion earning a simple interest rate of 5 percent per (answered by stanbon)
Phyllis invested 44000 44000 dollars, a portion earning a simple interest rate of... (answered by MathLover1,greenestamps)
Phyllis invested 55000 dollars, a portion earning a simple interest rate of 5 percent... (answered by CountrySLP)
Phyllis invested 60000 dollars, a portion earning a simple interest rate of 5 percent... (answered by josmiceli)
Phyllis invested 27000 dollars, a portion earning a simple interest rate of 5 percent per (answered by greenestamps)
Phyllis invested 56000 dollars, a portion earning a simple interest rate of 5 (answered by Boreal,greenestamps)
Phyllis invested 43000dollars, a portion earning a simple interest rate of 5 percent per (answered by ikleyn,greenestamps)
Phyllis invested 23000 dollars, a portion earning a simple interest rate of 4 percent per (answered by rfer)