Question 1177199: Lita invested some of her savings in real estate which end up yielding 12% at the end of 1 year. At the same time, she invested P200,000 more than this amount into a friend’s restaurant business, which ended up yielding a 22% profit at the end of 1 year. If her total profit was P146,000, how much did she invest in each business venture? Show solution.
Answer by ikleyn(52803)   (Show Source):
You can put this solution on YOUR website! .
The total interest equation is
0.12x + 0.22*(x+200000) = 146000
From the equation,
x =  = 300,000 invested at 12%.
Hence, the amount invested at 22% was 300,000 + 200,000 = 500,000.
CHECK. 0.12*300000 + 0.22*500000 = 146,000, 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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