Question 1115136
.
<pre>
<U>interest</U> + <U>interest</U>       = <u>total interest</U>


0.11x    + 0.12*(19000-x) = 2200


0.11x + 0.12*19000 - 0.19x = 2200


-0.01x = 2200-0.12*19000 = -80  


x = {{{(-80)/(-0.01)}}} = 8000.


<U>Answer</U>.  $8000 was invested at 11%;  the rest, 19000-8000 = 11000 dollars was invested at 12%.


<U>Check</U>.   0.11*8000 + 0.12*11000 = 22000.   ! Correct !
</pre>

----------------
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.