# How could I set this word problem up as a system?

• Sep 14th 2010, 07:07 AM
wrongnmbr
How could I set this word problem up as a system?
A system of linear equations that is. I think it would be easier to solve that way. The problem:

Mrs. Brady invests a total of \$6913 in two savings accounts. One account yields 7% simple interest and the other 7.5% simple interest. She would like to find the amount placed in each account if a total of \$511.92 in interest is received after one year.
• Sep 14th 2010, 07:22 AM
wonderboy1953
Simultaneous equations
Quote:

Originally Posted by wrongnmbr
A system of linear equations that is. I think it would be easier to solve that way. The problem:

Mrs. Brady invests a total of \$6913 in two savings accounts. One account yields 7% simple interest and the other 7.5% simple interest. She would like to find the amount placed in each account if a total of \$511.92 in interest is received after one year.

You're looking for simultaneous equations. How far did you get?
• Sep 14th 2010, 09:31 AM
RHandford
Hi

Here is a hint to get you started:

x+y=6913 0.07x+0.075y=511.92

Can you take it from there?
• Sep 14th 2010, 10:07 AM
wrongnmbr
Yes, that's what how I figured it would look. Thanks!