Question 1139184
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<pre>
Let x = amount at 11%, in dollars.

Then the amount at 6% is 2x dollars.



The interest from the 11% amount is 0.11*x  dollars.

The interest from the 6%   amount is 0.06*(2x) = 0.12x   dollars.



Your equation is


    <U>interest</U> + <U>interest</U>      = <U>total interest</U>,   or


    0.11*x   + 0.12*x        = 8993   dollars.


From the equation, express x and calculate the answer


    x = {{{8993/(0.11 + 0.12)}}} = 39100.


<U>Answer</U>.  The amount at 11% is $39100;  the amount at 6%  is  twice of it, i.e. 2*39100 = 78200 dollars. 


<U>Check</U>.   0.06*78200 + 0.11*39100 = 8993 dollars.   ! Correct !
</pre>

Solved.


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It is a typical and standard problem on investment.


To see many other similar solved problems on investment, &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.