Question 1180473
.
<pre>

account 1 = x

account 2 = (12500-x)


Your equation is


    2*(0.09x) = 0.12*(12500-x)


Simplify and solve


    0.18x = 0.12*12500 - 0.12x

    0.18x + 0.12x = 0.12*12500

    x = {{{(0.12*12500)/(0.18+0.12)}}} = 5000.


<U>ANSWER</U>.  Account 1 is $5000;  account 2 is the rest  $7500.


<U>CHECK</U>.  0.09*5000 = 450 dollars,  interest paid by account 1.

        0.12*7500 = 900  dollars,  interest paid by account 2.

        The ratio of interest is 2, in the right order.    ! Correct !
</pre>

Solved, answered, checked and carefully explained.


---------------


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.