A woman has $445,000 invested in two rental properties. One yields an annual return of 10% of her investment, and the other returns 12% per year on her investment. Her total annual return from the two investments is $47,000. Let x represent the amount of the 10% investment and y represent the amount of the 12% investment. Find how much is invested in each property by solving the equations for the total amount invested and the return from each property.
A)$111,250 at 10% and $360,000 at 12%
B)$320,000 at 10% and $125,000 at 12%
C)$110,000 at 10% and $85,000 at 12%
D)$360,000 at 10% and $125,000 at 12%
E)$85,000 at 10% and $110,000 at 12%

Question

A woman has $445,000 invested in two rental properties. One yields an annual return of 10% of her investment, and the other returns 12% per year on her investment. Her total annual return from the two investments is $47,000. Let x represent the amount of the 10% investment and y represent the amount of the 12% investment. Find how much is invested in each property by solving the equations for the total amount invested and the return from each property. ​
A)$111,250 at 10% and $360,000 at 12%
B)$320,000 at 10% and $125,000 at 12%
C)$110,000 at 10% and $85,000 at 12%​
D)$360,000 at 10% and $125,000 at 12%
E)$85,000 at 10% and $110,000 at 12%

Quizplus · Accepted Answer

The equations are x + y = 445,000 and 0.10x + 0.12y = 47,000. Solving these simultaneously gives x = 320,000 and y = 125,000.

A Woman Has $445,000 Invested in Two Rental Properties