Problema Solution

A realtor borrowed $90,000 to develop some property. He was able to borrow part of the money at 5.5% interest and the rest at 6%. The annual interest on the two loan amounts was $5,125. How much was borrow at each rate?

Answer provided by our tutors

let


x = the money borrow at 5.5%

y = the money borrow at 6%


a realtor borrowed $90,000 to develop some property


x + y = 90000


the annual interest on the two loan amounts was $5,125


0.055x + 0.06y = 5125


by solving the system of equations


x + y = 90000

0.055x + 0.06y = 5125


we find


x = $55,000


y = $35,000


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$55,000 was borrowed at 5.5% interest.

$35,000 was borrowed at 6% interest.