Ann investment

Question

Ann has $5000 to invest she invests in two different accounts. one expected to return 4.5% and the other expected to return 9%. In order to earn 382.50 for the year how much should she invest at each rate

Answer 1

let x=amount invested at 4.5%

let 5000-x=amount invested at 9%

4.5%(x)+9%(5000-x)=382.50

0.045(x)+0.09(5000-x)=382.5

0.045x+450-0.09x=382.5

-0.045x+450=382.5

-0.045x=-450+382.5

-0.045x=-67.5

0.045x=67.5

45x=67,500

x=67,500/45

x=$1500 invested at 4.5%

$5000-$1500=$3500 invested at 9%