Posted by **Lisa** on Tuesday, September 3, 2013 at 9:07pm.

Jan invested $1200 at a certain simple interest rate and $2200 at 3%higher. Her annual earnings were $253. Find the two interests rate if she earned $121 more on the larger investment than on the smaller.

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**Reiny**, Tuesday, September 3, 2013 at 10:08pm
smaller rate --- x

larger rate ----- x + .03

1200x + 2200(x+.03) = 253

1200x + 2200x + 66 = 253

3400x = 187

x = .055

lower rate is 5.5% higher rate is 8.5%

check:

return on 1200 = .055(1200) = 66

return on 2200 = .085(2200) = 187

which is $121 more

You actually had more information than was needed to solve the problem

- Acc. Algebra 2 -
**Lisa**, Wednesday, September 4, 2013 at 12:38am
Yeah I realized that!!! Thank you very much!!!

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