Question 1196217
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Juan invested his savings in two investment funds. 
The $15,000 that he invested in Fund A returned a 3% profit. 
The amount that he invested in Fund B returned a 10% profit. 
How much did he invest in Fund B, if both funds together returned a 5% profit?
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<pre>
Let x be the amount invested in Fund B.

Write an equation for the total annual interest 

    0.03*15000 + 0.1x = 0.05(15000+x).


Simplify and find x

    450 + 0.1x = 750 + 0.05x

    0.1x - 0.05x = 750 - 450

        0.05x    =    300

            x    =    300/0.05 = 6000.


<U>ANSWER</U>.  $6000 invested in Fund B.
</pre>

Solved.


The key to solution of similar problems is to write a balance equation 
for the total annual interest, &nbsp;and then solve it.


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In this problem, &nbsp;a professional term is &nbsp;" the interest ", &nbsp;or &nbsp;" the annual interest ", &nbsp;instead of &nbsp;" profit ".


The term &nbsp;" profit " &nbsp;has different meaning and stands for another concept.


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It is a standard and typical problem on investments.


If you need more details,  &nbsp;or if you want to see other similar problems solved by different methods, &nbsp;look into the lesson 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Using-systems-of-equations-to-solve-problems-on-investment.lesson>Using systems of equations to solve problems on investment</A>

in this site.


You will find there different approaches &nbsp;(using one equation or a system of two equations in two unknowns), &nbsp;as well as 
different methods of solution to the equations &nbsp;(Substitution, &nbsp;Elimination).


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lesson is the part of this online textbook under the topic &nbsp;"<U>Systems of two linear equations in two unknowns</U>".



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.