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August 21, 2014

August 21, 2014

Posted by **jota** on Sunday, May 6, 2012 at 11:44pm.

- math -
**MathMate**, Monday, May 7, 2012 at 9:31pmIt's a linear partition problem, since both investments are paid simple interest.

Amount invested at 8%

=$9000*(13-9)/(13-8)

=$7200

Amount invested at 13%

=$9000*(9-8)/(13-8)

=$1800

Alternatively, using algebra,

Let x=amount invested at 8%,

Then (9000-x)=amount invested at 13%

and the interest obtained should be the same as $9000 invested at 9%:

x*(8/100)+(9000-x)*(13/100)=9000*(9/100)

Isolate x,

x((13-8)/100)=9000(13-9)/100

x=9000*(13-9)/(13-8)=7200 as before.

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