A woman has $309,000 invested in two rental properties. One yields 10% on the investment, and the other yields 12%. Her total income from them is $34,500. How much is her income from each property?
A)She has invested $3,750 at 10% and $305,250 at 12%
B)She has invested $129,000 at 10% and $180,000 at 12%
C)She has invested $136,500 at 10% and $172,500 at 12%
D)She has invested $43,500 at 10% and $265,500 at 12%
E)She has invested $7,500 at 10% and $301,500 at 12%

Question

A woman has $309,000 invested in two rental properties. One yields 10% on the investment, and the other yields 12%. Her total income from them is $34,500. How much is her income from each property? ​
A)She has invested $3,750 at 10% and $305,250 at 12%
B)She has invested $129,000 at 10% and $180,000 at 12%
C)She has invested $136,500 at 10% and $172,500 at 12%
D)She has invested $43,500 at 10% and $265,500 at 12%
E)She has invested $7,500 at 10% and $301,500 at 12%

Quizplus · Accepted Answer

The correct answer is found by setting up equations based on the given information. Let x be the amount invested at 10% and y be the amount invested at 12%. We have two equations: x + y = 309,000 (total investment) and 0.10x + 0.12y = 34,500 (total income). Solving these equations simultaneously yields x = $129,000 and y = $180,000.

A Woman Has $309,000 Invested in Two Rental Properties