Question 1121591
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<pre>
Let x = the amount invested in fund A at 6%  and

let y = the amount invested in fund B at 7%.


Then your first equation is

    y - x = 5000.                              (1)


Fund A returned  0.06*x dollars;  fund B returned 0.07*y dollars.


So, you second equation is


    <U>interest</U> + <U>interest</U> = <U>total interest</U>,    or


    0.06x    + 0.07y    = 2300     dollars     (2)   


From equation (1) express y = 5000+x  and substitute it into equation (2), replacing y:


    0.06x + 0.07*(5000+x) = 2300.


Sinplify and solve for x:


    0.06x + 350 + 0.07x = 2300


    0.13x = 2300 - 350 = 1950  ====>  x = {{{1950/0.13}}} = 15000.


<U>Answer</U>.  The amount invested in fund A is  $15000;  the amount invested in fund B  is 5000 more, i.e.  $20000.


<U>Check</U>.  0.06*15000 + 0.07*20000 = 2300 dollars.   ! Correct !
</pre>

Solved.


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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.