Question 1177198: Tina invested P100,000 more than her husband did. If they both invested the money at 5% per year and their combined income from the investments was P35,000,how much did they invest in each? Show solution.
Answer by ikleyn(52803)   (Show Source):
You can put this solution on YOUR website! .
The total interest equation is
0.05x + 0.05*(x+100000) = 35000
From the equation,
x =  = 300,000 invested by the husband.
Hence, the amount invested by Tina was 300,000 + 100,000 = 400,000.
CHECK. 0.05*300000 + 0.05*400000 = 35,000, the total interest. ! Correct !
Solved.
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It is a standard and typical problem on investments.
If you need more details, or if you want to see other similar problems solved by different methods, look into the lesson
- Using systems of equations to solve problems on investment
in this site.
You will find there different approaches (using one equation or a system of two equations in two unknowns), as well as
different methods of solution to the equations (Substitution, Elimination).
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lesson is the part of this online textbook under the topic "Systems of two linear equations in two unknowns".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.
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