document.write( "Question 1112196: A bank loaned Joe $130,000, part of it at the mortgage annual interest rate of 7%, and the rest at the credit card annual interest rate of 19%. The total interest the bank received on the loan was $9850. How much was loaned at each rate? \n" ); document.write( "
Algebra.Com's Answer #727214 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
I assume simple interest
\n" ); document.write( "\"+I+=+P%2Ar%2At+\"
\n" ); document.write( "Let \"+P+\" = amount loaned @7%
\n" ); document.write( "\"+130000+-+P+\" = amount loaned @ 19%
\n" ); document.write( "Let \"+I+\" = interest earned by 7% loan
\n" ); document.write( "\"+9850+-+I+\" = interest earned by 19% loan
\n" ); document.write( "--------------------------------------------
\n" ); document.write( "For 7% loan:
\n" ); document.write( "(1) \"+I+=+P%2A.07%2A1+\"
\n" ); document.write( "For 19% loan:
\n" ); document.write( "(2) \"+9850+-+I+=+%28+130000+-+P+%29%2A.19%2A1+\"
\n" ); document.write( "----------------------------------------
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) \"+9850+-+.07P+=+24700+-+.19P+\"
\n" ); document.write( "(2) \"+.12P+=+14850+\"
\n" ); document.write( "(2) \"+P+=+123750+\"
\n" ); document.write( "and
\n" ); document.write( "\"+130000+-+P+=+130000+-+123750+\"
\n" ); document.write( "\"+130000+-+P+=+6250+\"
\n" ); document.write( "-------------------------------------------
\n" ); document.write( "$123,750 was loaned @7%
\n" ); document.write( "$6,250 as loaned @ 19%
\n" ); document.write( "-----------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+I+=+.07P+\"
\n" ); document.write( "(1) \"+I+=+.07%2A123750+\"
\n" ); document.write( "(1) \"+I+=+8662.5+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+9850+-+I+=+%28+130000+-+P+%29%2A.19+\"
\n" ); document.write( "(2) \"+9850+-+I+=+%28+130000+-+123750+%29%2A.19+\"
\n" ); document.write( "(2) \"+9850+-+I+=+6250%2A.19+\"
\n" ); document.write( "(2) \"+9850+-+I+=+1187.5+\"
\n" ); document.write( "(2) \"+I+=+8662.5+\"
\n" ); document.write( "OK
\n" ); document.write( "
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