document.write( "Question 1196209: Kaitlin invested her savings in two investment funds. The amount she invested in Fund A was twice as much as the amount she invested in Fund B. Fund A
\n" ); document.write( "returned a 5% profit and Fund B returned a 3% profit. How much did she invest in Fund B, if the total profit from the two funds together was $1040? \n" ); document.write( "
Algebra.Com's Answer #828948 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "Kaitlin invested her savings in two investment funds.
\n" ); document.write( "The amount she invested in Fund A was twice as much as the amount she invested in Fund B.
\n" ); document.write( "Fund A returned a 5% profit and Fund B returned a 3% profit.
\n" ); document.write( "How much did she invest in Fund B, if the total profit from the two funds together was $1040?
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document.write( "The amount invested in Fund B = x dollars;\r\n" );
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document.write( "The amount invested in Fund A = 2x dollars.\r\n" );
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document.write( "Write the total interest equation\r\n" );
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document.write( "    0.05*(2x) + 0.03*x = 1040  dollars.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    0.1x + 0.03x = 1040\r\n" );
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document.write( "       0.13x     = 1040\r\n" );
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document.write( "           x     = 1040/0.13 = 8000.\r\n" );
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document.write( "ANSWER.  $8000 invested in Fund B.\r\n" );
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\n" ); document.write( "\n" ); document.write( "In this problem, a professional term is \"the interest\", or \"the annual interest\", instead of \"profit\".\r
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\n" ); document.write( "\n" ); document.write( "The term \"profit\" has different meaning and stands for another concept.\r
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\n" ); document.write( "\n" ); document.write( "It is a standard and typical problem on investments.\r
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\n" ); document.write( "\n" ); document.write( "If you need more details,  or if you want to see other similar problems solved by different methods,  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
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\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
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\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
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\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
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\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
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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