document.write( "Question 1122870: Maya invested her savings in two investment funds. The
\n" ); document.write( "$4000
\n" ); document.write( " that she invested in Fund A returned a
\n" ); document.write( "10%
\n" ); document.write( " profit. The amount that she invested in Fund B returned a
\n" ); document.write( "3%
\n" ); document.write( " profit. How much did she invest in Fund B, if both funds together returned a
\n" ); document.write( "5%
\n" ); document.write( " profit? \n" ); document.write( "

Algebra.Com's Answer #739048 by ikleyn(52797) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "Let x = amount she invested in Fund B, in dollars (the value under the question).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The interest from Fund A  is 0.1*4000  dollars.\r\n" );
document.write( "\r\n" );
document.write( "The interest from Fund B  is 0.03*x   dollars.\r\n" );
document.write( "\r\n" );
document.write( "Total interest is  0.05*(4000+x).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Your equation is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    interest + interest      = total interest,   or\r\n" );
document.write( "\r\n" );
document.write( "    0.1*4000  + 0.03*x       = 0.05*(4000+x)   dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    400       + 0.03x        = 200 + 0.05x\r\n" );
document.write( "\r\n" );
document.write( "    400 - 200 = 0.05x - 0.03x\r\n" );
document.write( "\r\n" );
document.write( "    200 = 0.02x  ====>  x =  = 10000.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  $10000 were invested in Fund B.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Check.   0.1*4000 + 0.03*10000 = 700 dollars.   \r\n" );
document.write( "\r\n" );
document.write( "         0.05*(4000+10000) = 700 dollars.    ! Correct !\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is a typical and standard problem on investment.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems on investment, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - Using systems of equations to solve problems on investment\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You will find there different approaches (using one equation or a system of two equations in two unknowns), as well as
\n" ); document.write( "different methods of solution to the equations (Substitution, Elimination).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );