SOLUTION: Susan invests 2 times as much money at 8% as she does at 6%. If her total imterest after 1 year is $1,100. How much does she have invested at each rate? I made an equation 2x+

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Question 1053825: Susan invests 2 times as much money at 8% as she does at 6%. If her total imterest after 1 year is $1,100. How much does she have invested at each rate?
I made an equation 2x+ y =1100 and 0.08x + 0.06y= $1100 but when i solve i get a negative number so i mnow my formulas are nit correct

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Your first equation is wrong. Think why!

How much was the total investment?
How much was the interest for the one year?
These are different numbers and different quantities.

Susan invests 2 times as much money at 8% as she does at 6%.
How should this be symbolized? THIS IS A RATIO.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Susan invests 2 times as much money at 8% as she does at 6%. If her total imterest after 1 year is $1,100. How much does she have invested at each rate?
I made an equation 2x+ y =1100 and 0.08x + 0.06y= $1100 but when i solve i get a negative number so i mnow my formulas are nit correct
The correct approach is:
Let the amount invested at 6% be S
Then amount invested at 8% = 2S
Do you understand this?
Interest earned from 6% investment: .06S
Interest earned from 8% investment: .08(2S), or .16S
We then get the following TOTAL INTEREST AMOUNT equation: .06S + .16S = 1,100
Solve this for S, the amount invested at 6%
Double or multiply value of S by 2 to get amount invested at 8%.
It's that easy....nothing complex!