document.write( "Question 435031: $2000 total deposit with 2 savings accounts. One pays interest rate of 6%the other at rate of 8% if a total earned interest is $144 how much is each deposit \n" ); document.write( "

Algebra.Com's Answer #853262 by ikleyn(53420) $\"\"$ $\"About$

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\n" ); document.write( "$2000 total deposit with 2 savings accounts. One pays interest rate of 6%,
\n" ); document.write( "the other at rate of 8% if a total earned interest is $144 how much is each deposit
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\n" ); document.write( "\n" ); document.write( "        The solution and the answer in the post by @mananth both are incorrect.\r
\n" ); document.write( "\n" ); document.write( "        His solution has arithmetic errors and does not withstand the standard check.\r
\n" ); document.write( "\n" ); document.write( "        So, I came to bring a correct solution.\r
\n" ); document.write( "\n" ); document.write( "        I will solve the problem using one single unknown, since it provides a shorter way.\r
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document.write( "Let x be the amount invested at 8%, in dollars.\r\n" );
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document.write( "Then the amount invested at 6% is  (2000-x) dollars.\r\n" );
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document.write( "Write the total annual interest equation\r\n" );
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document.write( "    0.08*(x + 0.06(2000-x) = 144  dollars.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    0.08x + 120 - 0.06x = 144,\r\n" );
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document.write( "    0.08x - 0.06x = 144 - 120,\r\n" );
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document.write( "         0.02x    =     24\r\n" );
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document.write( "             x    =     24/0.02 = 2400/2 = 1200.\r\n" );
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document.write( "ANSWER.  $1200 invested at 8%;  $the rest,  $2000 - $1200 = $800 invested at 6%.\r\n" );
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document.write( "CHECK.  0.08*1200 + 0.06*800 = 144 dollars.  PRECISELY as it is given in the problem.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
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\n" ); document.write( "\n" ); document.write( "This problem can be solved algebraically using one equation in one unknown or two equations in two unknowns.
\n" ); document.write( "It also can be solved mentally.\r
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\n" ); document.write( "\n" ); document.write( "Since this site is to teach algebra, I place here algebraic solution.
\n" ); document.write( "Since the solution with one equation is simpler and shorter, I prefer this form with one unknown, which I present here.\r
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\n" ); document.write( "\n" ); document.write( "What is really important, is to check the final solution for validity.\r
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\n" ); document.write( "\n" ); document.write( "If you do not check, nothing will prevent you from mistakes.\r
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