Question 1151867
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<pre>

x dollars invested at 6% and the rest, (9000-x) dollars invested at 4.5%.


The total interest is the sum of partial interest.


In the equation form it is


    0.06x + 0.045*(9000-x) = 480.75  dollars.


From the equation,  


    x = {{{(480.75 - 0.045*9000)/(0.06-0.045)}}} = 5050  dollars.


<U>ANSWER</U>.  $5050 invested at 6%  and the rest,  9000-5050 = 3950  dollars invested at 4.5%.


<U>CHECK</U>.   0.06*5050 + 0.045*3950 = 480.75 dollars.   ! Precisely correct !
</pre>

Solved.


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Every day we solve 3 - 5 similar problems at this forum.


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.