SOLUTION: Mrs. Brady invests a total of $8218 in two savings accounts. One account yields 8.5% simple interest and the other 9% simple interest. She earned a total of $706.47 interest for

Algebra.Com
Question 877129:
Mrs. Brady invests a total of $8218 in two savings accounts. One account yields 8.5% simple interest and the other 9% simple interest. She earned a total of $706.47 interest for the year. How much was invested in each account?




Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!

Mrs. Brady invests a total of $8218 in two savings accounts. One account yields 8.5% simple interest and the other 9% simple interest. She earned a total of $706.47 interest for the year. How much was invested in each account?
Let x = amount ($) in account earning 8.5%
then
8218-x = amount ($) in account earning 9%
.
.085x + .09(8218-x) = 706.47
.085x + 739.62-.09x = 706.47
739.62-.005x = 706.47
-.005x = -33.15
x = $6630 (amount invested at 8.5%)
.
amount invested at 9%:
8218-6630 = $1588

RELATED QUESTIONS

Mrs. Brady invests a total of $8218 in two savings accounts. One account yields 8.5%... (answered by lwsshak3)
Mrs. Garcia invests a total of $9099 in two savings accounts. One account yields 7.5%... (answered by mananth)
A man invests a total of in two savings accounts. One account yields 9% simple interest... (answered by stanbon)
A man invests a total of in two savings accounts. One account yields 9% simple interest... (answered by lynnlo)
A man invests a total of $9,493in two savings accounts. One account yields 9% simple... (answered by mananth)
Mrs. Garcia invests a total of $7214 into two savings accounts. One account yields 8.5%... (answered by richwmiller)
Mrs. brandy invests a total of $8715 in two savings accounts. one account yields 8.5%... (answered by Mathtut)
A total investment of $9,700is made into two savings accounts. One account yields 9%... (answered by Boreal)
A total investment of is made into two savings accounts. One account yields 5% simple... (answered by stanbon)