Problema Solution
An investment of $125,000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the investments was $9090. the interest from the first investment was 2 times the interest of the second. Find the amounts of the three parts of the investment
Answer provided by our tutors
Let x, y , z be the two three investments.
x+y+z=125,000.
0.08x+0.06y+0.09z=9090.
8x+6y+9z=909000.
0.08x=2*0.06y.
8x=12y.
2x=3y.
By solving above three equations
9x+9y+9z=1125,000
8x+6y+9z=909000. By subtracting
x+3y=216000.
x+2x=216000.
3x=216000.
x=$72000.
y=2*72000/3
y=$48000.
z=125000-72000-48000
z=$5000.