document.write( "Question 562781: To buy both a new car and a new house, Tina sought two loans totalling $321,929. The simple interest rate on the first loan was 1.0%, while the simple interest rate on the second loan was 8.8%. At the end of the first year, Tina paid a combined interest payment of $25,677.83. What were the amounts of the two loans?\r
\n" ); document.write( "\n" ); document.write( "I think i know the answer but could someone please help me work out this problem?
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Algebra.Com's Answer #364711 by KMST(5328)\"\" \"About 
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Let x be the price of the house and y be the price of the car
\n" ); document.write( "\"x%2By=321929\"
\n" ); document.write( "The interest on the house is \"0.01x\".
\n" ); document.write( "The interest on the car is \"0.088y\"
\n" ); document.write( "The total interest for the first year is
\n" ); document.write( "\"0.01x%2B0.088y=25677.83\"
\n" ); document.write( "Multiplying times 100 to get rid of some decimals
\n" ); document.write( "\"x%2B8.8y=2567783\"
\n" ); document.write( "The equations
\n" ); document.write( "\"x%2B8.8y=2567783\" and
\n" ); document.write( "\"x%2By=321929\" form a system of linear equations.
\n" ); document.write( "It could be solved several different ways.
\n" ); document.write( "For example, subtracting the second equation from the first one we get
\n" ); document.write( "\"x%2B8.8y-x-y=2567783-321929\" which simplifies to
\n" ); document.write( "\"7.8y=2245854\" and dividing both sides by 7.8, we get
\n" ); document.write( "\"y=2245854%2F7.8=287930\"
\n" ); document.write( "Substituting that into \"x%2By=321929\" we get
\n" ); document.write( "\"x%2B287930=321929\" --> \"x=321929-287930=33999\"
\n" ); document.write( "Tina bought a house for $33,999 and a car for $287,930.
\n" ); document.write( "Very strange.
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