Can someone help me with this algebra word problem?

Question

Pedro wants to invest his $25,000 bonus check. His advisor recommended that he put some of the money in a bond fund that yields 5% per annum and the rest in a stock fund that yields 9% per annum. If Pedro wants to earn $1875 each year from his investment, how much should he place in each investment?

Answer 1

Let X = amount invested at 5%  

Then the amount invested at 9% is 25000 - X  

 

The total amount of interest earned is  

 

0.05*X + 0.09*(25000 - X) = 1875

0.05*X + 2250 - 0.09*X = 1875

-0.04*X = -375

X = $9375 invested at 5%

 

25000 - X = $15625 invested at 9%  

 

Check:  0.05*9375 + 0.09*15625 = 468.75 + 1406.25 = $1875