document.write( "Question 623505: An investor invested a total of $2,200 in two mutual funds. One fund earned a 9% profit while the other earned a 7% profit. If the investor's total profit was $160.00 how much was invested in each mutual fund? \n" ); document.write( "

Algebra.Com's Answer #392130 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = amount invested @ 9%
\n" ); document.write( "Let $\"+b+\"$ = amount invested @ 7%
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+2200+\"$
\n" ); document.write( "(2) $\"+.09a+%2B+.07b+=+160+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "(2) $\"+9a+%2B+7b+=+16000+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"+7+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+9a+%2B+7b+=+16000+\"$
\n" ); document.write( "(1) $\"+-7a+-+7b+=+-15400+\"$
\n" ); document.write( " $\"+2a+=+600+\"$
\n" ); document.write( " $\"+a+=+300+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=+2200+\"$
\n" ); document.write( "(1) $\"+300+%2B+b+=+2200+\"$
\n" ); document.write( "(1) $\"+b+=+1900+\"$
\n" ); document.write( "$300 was invested @ 9%
\n" ); document.write( "$1900 was invested @ 7%
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+.09a+%2B+.07b+=+160+\"$
\n" ); document.write( "(2) $\"+.09%2A300+%2B+.07%2A1900+=+160+\"$
\n" ); document.write( "(2) $\"+27+%2B+133+=+160+\"$
\n" ); document.write( "(2) $\"+160+=+160+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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