Posted by **Rigby** on Wednesday, January 30, 2013 at 4:38am.

a man borrowed $85,000 of wich he pays a part of at 9% interest and the rest at 12% if his total interest payment is $9300 per year how much did he borrow at each rate of interest ?

- Math -
**drwls**, Wednesday, January 30, 2013 at 5:49am
Let X = the amount borrowed at 9% interest

let Y = the amount borrowed at 12% interest.

Here is what you know:

X + Y = 85,000

0.09 X + 0.12 Y = 9,300

Now solve those two simultaneous equations. One easy way is to multiply both sides of the first equation by 0.09.

0.09 X+ 0.09 Y = 7,650

Now subtract that from the second equation to eliminate the X variable.

0.03 Y = 1650

Y = 55,000

X = 30,000

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