Question 1142768
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Let x = the amount invested at 4.4% and y = the amount invested at 6%.


Then from the condition you have these two equations in two unknowns


         x +     y = 36000  dollars    (1)    (total investment)

    0.044x + 0.06y =  1800  dollars    (2)    (total interest)


Solve the system by the Substitution method.

For it, from equation (1) express x = 36000 - y  and substitute it into equation (2). You will get


    0.044*(36000-y) + 0.06y = 1800


Simplify and express y from the last equation; then calculate


    y = {{{(1800 - 0.044*36000)/(0.06 - 0.044)}}} = 13500.


To find x, substitute the found value of y into equation (1). You will get then


    x = 36000 - 13500 = 22500.


<U>ANSWER</U>.  $22500 was invested at 4.4%  and  $13500 was invested at 6%.


<U>CHECK</U>.   0.044*22500 + 0.06*13500 = 1800  dollars.    ! Correct !
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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.