Question 520138


Let
Loan taken on 6% = x
Loan taken on 5% = x + 1000
Given
Total interest = 215


x*6% + (x+1000)*5% = 215
x*(6/100) +  (x+1000)*(5/100) = 215
Multiply by 100 both sides
x*6 + (x+1000)*5=215*100
6x+5x+5000=21500
11x=21500 - 5000
11x=16500
11x/11=16500/11
x=1500


Loan taken on 6% = x = $1500
Loan taken on 5% = x + 1000 = 1500+1000 = $2500



Check
=====

1500 * 6/100 + 2500 * 5/100 = 215
15*6+25*5 = 215
90+125=215
215=215