Question 321142: I need help solving this word problem
Write a system of two equations in two unknowns for each problem. Solve each system by substitution.
Investing her bonus. Donna invested her $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and the remainder 2.25%, then how much did she invest at each rate?
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! Donna invested her $33,000 bonus and received a total of $970 in interest after one year.
let her invest $ x at 4% and
$ 33000-x at 2.25%,
..
Interest equation
0.04x+0.0225(33000-x)= 970
0.04x+742.5-0.0225x=970
0.0175x= 227.5
x= $13000 investment at 4 %
Balance $2000 at 2.25%
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