document.write( "Question 1203745: A man has $250,000 invested in three properties. One earns 12%, one 10% and one 8%. His annual income from the properties is $23,900 and the amount invested at 8% is twice that invested at 12%.
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Algebra.Com's Answer #839708 by MathTherapy(10556)\"\" \"About 
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document.write( "A man has $250,000 invested in three properties. One earns 12%, one 10% and one 8%. His annual income from the properties is $23,900 and the amount invested at 8% is twice that invested at 12%.\r\n" );
document.write( "(a) How much is invested in each property?\r\n" );
document.write( "12%property			$ \r\n" );
document.write( "10%property			$ \r\n" );
document.write( "8%property			$ \r\n" );
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document.write( "(b) What is the annual income from each property?\r\n" );
document.write( "12%property			$ \r\n" );
document.write( "10%property			$ \r\n" );
document.write( "8%property			$ \r\n" );
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document.write( "Let amount invested in the property earning 12%, be T\r\n" );
document.write( "Then amount invested in the property earning 8% = 2T\r\n" );
document.write( "So, amount invested in the property earning 10% = 250,000 - (T + 2T) = 250,000 - 3T\r\n" );
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document.write( "Income from property earning 12%: .12T\r\n" );
document.write( "Income from property earning 8%: .08(2T) = .16T\r\n" );
document.write( "Income from property earning 10%: .1(250,000 - 3T) = 25,000 - .3T\r\n" );
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document.write( "Since total income from the 3 investments is $23,900, we get: .12T + .16T + 25,000 - .3T = 23,900\r\n" );
document.write( "                                                                       .12T + .16T - .3T = 23,900 - 25.000\r\n" );
document.write( "                                                                                  - .02T = - 1,100 \r\n" );
document.write( "    Amount invested in property earning 12%, or \r\n" );
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document.write( "                         Amount invested in property earning 8%: 2T = 2(55,000) = $110,000\r\n" );
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document.write( "  Amount invested in property earning 10%: 250,000 - (55,000 + 110,000) = 250,000 - 165,000 = $85,000\r\n" );
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document.write( "Income from property earning 12%, property earning 8%, and property earning 10% are: .12T, .16T, and 25,000 - .3T,\r\n" );
document.write( "respectively. Use those facts, along with T being $55,000, to find the income from each of the 3 properties.
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