SOLUTION: Kate borrows $10,000. Some is from her friend at 8% annual interest, twice as much as that from her bank at 9%, and the remainder from her insurance company at 5%. She pays a tot

Algebra ->  Matrices-and-determiminant -> SOLUTION: Kate borrows $10,000. Some is from her friend at 8% annual interest, twice as much as that from her bank at 9%, and the remainder from her insurance company at 5%. She pays a tot      Log On


   



Question 439710: Kate borrows $10,000. Some is from her friend at 8% annual
interest, twice as much as that from her bank at 9%, and the remainder
from her insurance company at 5%. She pays a total of $830 in interest
for the first year. How much did she borrow from each source?

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
friend ----------- x-------------8%
Bank--------------2x-------------9%
Insurance company---10,000-3x----5%
8x+9*2x+5(10000-3x)=830*100
8x+18x+50000-15x=83000
11x=83000-50000
11x=33000
/11
x==3000 from friend
Bank ---2x= 6000
insurance = 1000