document.write( "Question 1038477: A bank loaned out
\n" ); document.write( "$16 comma 000
\n" ); document.write( ",
\n" ); document.write( "part of it at the rate of
\n" ); document.write( "7 %
\n" ); document.write( "per year and the rest at
\n" ); document.write( "17 %
\n" ); document.write( "per year. If the interest received in one year totaled
\n" ); document.write( "$2000
\n" ); document.write( ",
\n" ); document.write( "how much was loaned at 7 % question mark \n" ); document.write( "

Algebra.Com's Answer #653186 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = the amount loaned at 7%
\n" ); document.write( "Let $\"+y+\"$ = the amount loaned at 17%
\n" ); document.write( "---------------------------------
\n" ); document.write( "(1) $\"+.07x+%2B+.17y+=+2000+\"$
\n" ); document.write( "(2) $\"+x+%2B+y+=+16000+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "(1) $\"+7x+%2B+17y+=+200000+\"$
\n" ); document.write( "Multiply both sides of (2) by $\"+7+\"$ and
\n" ); document.write( "subtract (2) from (1)
\n" ); document.write( "(1) $\"+7x+%2B+17y+=+200000+\"$
\n" ); document.write( "(2) $\"+-7x+-+7y+=+-112000+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( " $\"+10y+=+88000+\"$
\n" ); document.write( " $\"+y+=+8800+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+x+%2B+y+=+16000+\"$
\n" ); document.write( "(2) $\"+x+%2B+8800+=+16000+\"$
\n" ); document.write( "(2) $\"+x+=+7200+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "$7,200 was loaned at 7%
\n" ); document.write( "--------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+.07x+%2B+.17y+=+2000+\"$
\n" ); document.write( "(1) $\"+.07%2A7200+%2B+.17%2A8800+=+2000+\"$
\n" ); document.write( "(1) $\"+504+%2B+1496+=+2000+\"$
\n" ); document.write( "(1) $\"+2000+=+2000+\"$
\n" ); document.write( "OK \n" ); document.write( "

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