Question 1196209
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Kaitlin invested her savings in two investment funds. 
The amount she invested in Fund A was twice as much as the amount she invested in Fund B. 
Fund A returned a 5% profit and Fund B returned a 3% profit. 
How much did she invest in Fund B, if the total profit from the two funds together was $1040?
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<pre>
The amount invested in Fund B = x dollars;

The amount invested in Fund A = 2x dollars.


Write the total interest equation

    0.05*(2x) + 0.03*x = 1040  dollars.


Simplify and find x

    0.1x + 0.03x = 1040

       0.13x     = 1040

           x     = 1040/0.13 = 8000.


<U>ANSWER</U>.  $8000 invested in Fund B.
</pre>

Solved.


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


The term "profit" 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.