<PRE><B>Question 1138527</B>
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&lt;pre&gt;
If he could get 4% on &lt;U&gt;ALL of his money&lt;/U&gt;, his income would be 480 pesos.

It means that the &lt;U&gt;total of two investments&lt;/U&gt; is  {{{480/0.04}}} = 12000 pesos.


Let x = amount at 3%, in pesos.

Then the amount at 4% is the rest (12000-x) pesos.



The interest from the 3% amount is 0.03*x  pesos.

The interest from the 4%   amount is 0.04*(12000-x)   pesos.



Your equation is


    &lt;U&gt;interest&lt;/U&gt; + &lt;U&gt;interest&lt;/U&gt;      = &lt;U&gt;total interest&lt;/U&gt;,   or


    0.03*x  + 0.04*(12000-x) = 410   pesos.


From the equation, express x and calculate the answer


    x = {{{(410 - 0.04*12000)/(0.03-0.04)}}} = 7000.


&lt;U&gt;Answer&lt;/U&gt;.  The amount at 3% is $7000;  the rest  $12000-$7000 = $5000 is the amount at 4%.


&lt;U&gt;Check&lt;/U&gt;.   0.03*7000 + 0.04*5000 = 410 pesos.   ! Correct !
&lt;/pre&gt;

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It is a typical and standard problem on investment.


To see many other similar solved problems on investment, &amp;nbsp;look into the lesson

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Using-systems-of-equations-to-solve-problems-on-investment.lesson&gt;Using systems of equations to solve problems on investment&lt;/A&gt;

in this site.


You will find there different approaches &amp;nbsp;(using one equation or a system of two equations in two unknowns), &amp;nbsp;as well as 
different methods of solution to the equations &amp;nbsp;(Substitution, &amp;nbsp;Elimination).


Also, &amp;nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson&gt;ALGEBRA-I - YOUR ONLINE TEXTBOOK&lt;/A&gt;.


The referred lesson is the part of this online textbook under the topic &amp;nbsp;&quot;&lt;U&gt;Systems of two linear equations in two unknowns&lt;/U&gt;&quot;.



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.


</PRE>