SOLUTION: Neomi invests $1000, part 4% interest and part 5% interest. How much does she invest at each interest rate if she makes a total of 42$ in interest between the two accounts?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Neomi invests $1000, part 4% interest and part 5% interest. How much does she invest at each interest rate if she makes a total of 42$ in interest between the two accounts?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 421446: Neomi invests $1000, part 4% interest and part 5% interest. How much does she invest at each interest rate if she makes a total of 42$ in interest between the two accounts?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
4.00% per annum------------- x
5.00% per annum------------ y
total investment 1000
Interest----- $42.00
....
x+y1000 ------------------------1
4.00%x+5.00%y=$42.00
Multiply by 100
4x+5y=$4,200.00 --------2

Multiply (1) by -4
we get

-4x-4y= -4000

Add this to (2)

y=$200.00 at 5.00%
Balance $800.00 investment at 4.00%