Question 1184522
.
Tim Bell invests some money at 5% and $1500 more than this amount at 8%. 
The total annual income from the investments is $536. Find the amount invested at 5%.
~~~~~~~~~~~~~~~~~


<pre>
    0.05x + 0.08*(x+1500) = 536

    0.05x + 0.08x + 0.08*1500 = 536

    0.05x + 0.08x = 536 - 0.08*1500

         0.13x    = 416

             x    = {{{416/0.13}}} = 3200.


<U>ANSWER</U>.  The amount invested at 5% was $3200.


<U>CHECK</U>.   0.05*3200 + 0.08*(3200+1500) = 536  dollars, total annual interest.    ! Correct !
</pre>

Solved.


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


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.