Question 1142255
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A bank loaned out $19000, part of it at the rate of 6% per year and then rest at 14% per year. 
If the interest received in one year totaled $2000, how much was loaned at 6%? How much of the {{{highlight(cross($1900))}}} <U>$19000</U>
did the bank loan out at {{{highlight(cross(6))}}} <U>14%</U> ?
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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Pay attention on how I edited your post to make all data correct !



<pre>
Let x = amount loaned at 14%, in dollars.

Then the amount loaned at 6% is the rest (19000-x) dollars.



The interest from the 14% loan is 0.14*x  dollars.

The interest from the 6%   loan is 0.06*(19000-x)   dollars.



Your equation is


    interest + interest      = total interest,   or


    0.14*x  + 0.06*(19000-x) = 2000   dollars.


From the equation, express x and calculate the answer


    x = {{{(2000 - 0.06*19000)/(0.14-0.06)}}} = 10750.


<U>Answer</U>.  The amount loaned щге at 14% is $10750;  the rest  $19000-$10750 = $8250 is the amount loaned щге at 6%.


<U>Check</U>.   0.14*10750 + 0.06*8250 = 2000 dollars.   ! Correct !
</pre>

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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.