document.write( "Question 372988:
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document.write( "To buy both a new car and a new house, Tina sought two loans totalling $191,610. The simple interest rate on the first loan was 6.3%, 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 $16,681.66. What were the amounts of the two loans? \n" );
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Algebra.Com's Answer #265597 by mananth(16946)![]() ![]() You can put this solution on YOUR website! To buy both a new car and a new house, Tina sought two loans totalling $191,610. The simple interest rate on the first loan was 6.3%, 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 $16,681.66. What were the amounts of the two loans?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".. \n" ); document.write( "$ x ---------------- 6.3% \n" ); document.write( "$y------------------ 8.8% \n" ); document.write( ".. \n" ); document.write( "Interest on both = 16,681.66 \n" ); document.write( "Loan = 191,610 \n" ); document.write( "... \n" ); document.write( "x+y = 191,610.......................1 \n" ); document.write( "6.3x+8.8y=16681.66*100 \n" ); document.write( "multiply by 10 \n" ); document.write( "63x+88y=16,681.66*100*10 \n" ); document.write( "63x+88y=16,681,660...................2 \n" ); document.write( "multiply (1) by -63 \n" ); document.write( "-63x-63y=-12,071,430 \n" ); document.write( "add to (2) \n" ); document.write( "25y=4610230 \n" ); document.write( "y=184,409.2 ------8.8% \n" ); document.write( "x=7,200.80 -------6.3%\r \n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |