SOLUTION: A man has a savings account that pays 1% annual interest and a mutual fund account that pays 11% annually. His total interest from the two accounts is $1540, and the total amount

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Question 59484: A man has a savings account that pays 1% annual interest and a mutual fund account that pays 11% annually. His total interest from the two accounts is $1540, and the total amount of money in the two accounts is $20,000. How much money does he have in the savings account?
Found 2 solutions by tutorcecilia, josmiceli:
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
(1%)(x)+(11%)($20,000-x)=$1540
.01x+.11(20,000-x)=1540
.01x+2200-.11x=1540 [Solve for x]
-.10x=-660
x=$6600 in the savings account.
.
Check by plugging all of the values into the original equation.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
20K is the total amount invested
Let x = amount invested @ 11%
20K - x = amount invested @ 1%
1540+=+.11x+%2B+.01%2A%2820000+-+x%29
1540+=+.11x+%2B+200+-+.01x
1540+-+200+=+.1x
x+=+1340+%2F+.1
x+=+13400
20K - x = amount invested @ 1%
20000+-+13400+=+6600
The amount invested in the savings account is $6,600