<PRE><B>Question 181776</B>
Mrs. brandy invests a total of $8715 in two savings accounts. one account yields 8.5% simple intrest and the other 9.5% simple interest. She would like to find the amount placed in each account if a total of $754.88 in interest is received after one year
:
let the amount invested at 8.5% and 9.5% be x and y respectively
:
x+y=8715.............eq 1
.085x+.095y=754.88...eq 2
:
rewrite eq 1 to x=8715-y and plug it into eq 2
:
.085(8715-y)+.095y=754.88
:
740.78-.085y+.095y=754.88
:
{{{.01y=14.1}}}
:
{{{highlight(y=1410)}}}dollars invested at 9.5%
:
{{{highlight(x)=red(8715-1410)=highlight(7305)}}}dollars invested at 8.5%</PRE>