(adsbygoogle = window.adsbygoogle || []).push({}); The problem statement, all variables and given/known data

1.

A small corporation borrowed $1,500,000 to expand it's product line. Some of the money was borrowed at 8%, some at 9%, and some at 12%. How much was borrowed at each rate if the annual interest was $133,000 and the amount borrowed at 8% was 4 times the amount borrowed at 12%

2.

2. Relevant equations

3. The attempt at a solution

1. I know you could write the total money borrowed and interest equations as

a+b+c=1,500,000

.08a+.09b+.12c=133,000

However I dont know how to write the equation where the amount 'a' borrowed is 4 times the amount 'c' borrowed.

2.

A.

I'm not even sure how I'd start to write a system of equations for this.

Something like this?

x_{3}+x_{4}-x_{5}+x_{6}+x_{7}+500=600

x_{1}+x_{2}-x_{3}-x_{4}+x_{5}+600=500

Am I on the right track? What would you do with the constant at the end subtract it from the RHS of the equation?

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# Homework Help: Systems Of Equations Word Problems

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