SOLUTION: Last year, Lena had $10,000 to invest. She invested some of it in an account that paid 8% simple interest per year, and she invested the rest in an account that paid 5% simple

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Question 727081:
Last year, Lena had $10,000 to invest. She invested some of it in an account that paid 8% simple interest per year, and she invested the rest in an account that paid 5% simple interest per year. After one year, she received a total of $770 in interest. How much did she invest in each account?

Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
.08X+.05(10,000-X)=770
.08X+500-.05X=770
.03X=770-500
.03X=270
X=270/.03
X=9,000 AMOUNT INVESTED @ 8%.
10,000-9,000=1,000 AMOUNT INVESTED @ 5%.
PROOF:
.08*9,000+.05*10,000=770
720+50=770
770=770