document.write( "Question 1029772: A boy invested $860 of his Bar Mitzvah money. He put part of it in the bank at 4.5% interest and lent the remainder to his parents at 7%. If after one year the interest on these investments was $51.95. Find how much he put in the bank.\r
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Algebra.Com's Answer #644714 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = the amount he put in the bank
\n" ); document.write( "Let \"+b+\" = the amount he lent to parents
\n" ); document.write( "( I'm assuming simple annual interest )
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\n" ); document.write( "(1) \"+a+%2B+b+=+860+\"
\n" ); document.write( "(2) \"+.045a+%2B+.07b+=+51.95+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) \"+45a+%2B+70b+=+51950+\"
\n" ); document.write( "(2) \"+9a+%2B+14b+=+10390+\"
\n" ); document.write( "Multiply both sides of (1) by \"+9+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+9a+%2B+14b+=+10390+\"
\n" ); document.write( "(1) \"+-9a+-+9b+=+-7740+\"
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\n" ); document.write( "\"+5b+=+2650+\"
\n" ); document.write( "\"+b+=+530+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+530+=+860+\"
\n" ); document.write( "(1) \"+a+=+330+\"
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\n" ); document.write( "He put $330 in the bank
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\n" ); document.write( "check:
\n" ); document.write( "(2) \"+.045a+%2B+.07b+=+51.95+\"
\n" ); document.write( "(2) \"+.045%2A330+%2B+.07%2A530+=+51.95+\"
\n" ); document.write( "(2) \"+14.85+%2B+37.1+=+51.95+\"
\n" ); document.write( "(2) \"+51.95+=+51.95+\"
\n" ); document.write( "OK\r
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