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Mrs. Brady invests a total of $9341 in two savings accounts. One account yields 7.5% simple interest and the other 8.5% simple interest. She would like to find the amount placed in each account if a total of $726.63 in interest is received after one year. Which system of linear equations below expresses this problem?<br /><br />[a] x + y = 726.63<br /> 0.075x + 0.085y = 9341<br />[b] x + y = 9341<br /> 7.5x + 8.5y = 726.63<br />[c] x + y = 726.63<br /> 7.5x + 8.5y = 9341<br />[d] x + y = 9341<br /> 0.075x + 0.085y = 726.63<br /><br /><br />please show me how to do it<br />thanks<br />

papen

D.

savings account x + savings account y = $9341
or
x + y = 9341

7.5% earned from savings account x + 8.5% earned from savings account y = $726.63
or
7.5%x + 8.5%y = 726.63
which is the same as
.075x + .085y = 726.63

vicki

[d] is correct formulation.
The first equation gives you y=9341 - x.
Now substitute this value in the second equation, open the brackets andsolve for x. You can value of y from the first equation.
Good luck.

vicki

i believe it's d

0.075x + 0.085y = 726.63 is total of $726.63 in interest is received wr x adn y

and x + y = 9341 is total of her investment