document.write( "Question 1120983: Lena invested her savings in two investment funds. The amount she invested in Fund A was
\n" ); document.write( "$8000
\n" ); document.write( " less than the amount she invested in Fund B. Fund A returned a
\n" ); document.write( "3%
\n" ); document.write( " profit and Fund B returned a
\n" ); document.write( "7%
\n" ); document.write( " profit. How much did she invest in Fund B, if the total profit from the two funds together was
\n" ); document.write( "$1960
\n" ); document.write( "?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #736709 by ikleyn(52800) $\"\"$ $\"About$

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

\r\n" );
document.write( "Let x = \"How much did she invest in Fund B\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then the amount she invested in fund A was (x-8000) dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Fund A returned 0.03*(x-8000) dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Fund B returned 0.07*x dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "According to the condition, \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    0.03*(x-8000) + 0.07x = 1960.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve for x.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    0.03x - 0.03*8000 + 0.07x = 1960\r\n" );
document.write( "\r\n" );
document.write( "    0.1x = 1960 + 240 \r\n" );
document.write( "\r\n" );
document.write( "    0.1x = 2200    ====>  x =  = 22000.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  $22000 was invested in fund B.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Check.   0.03*(22000 - 8000) + 0.07*22000 = 1960  dollars.   ! Correct !\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\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( "If you want to learn on how to solve such problems on your own, 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" );