SOLUTION: Hi I'm having a hard time solving this word problem, I hope you could help me with this one. thank you. A part of 200,000 pesos was invested in 1 year in an investment that off

Let x be the amount invested at 5% (in pesos)

Then the amount invested at 3% is (200000-x) pesos.


First amount creates  0.05x pesos as the annual interest;

second amount creates 0.03*(200000-x) pesos as the annual interest.


Next, you write the equation for the total interest


    0.05x + 0.03(200000-x) = 7000  pesos.


From the equation,


    x =  = 50000.


ANSWER.  50,000 pesos invested at 5%;  the rest,  200,000-50,000 = 150000 pesos, invested at 3%.


CHECK.  0.05*50000 + 0.03*150000 = 7000 pesos, the total interest.   ! Correct !