document.write( "Question 907917: Tom invested his savings in two investment funds. The amount he invested in Fund A was $8000 less than the amount he invested in Fund B. Fund A returned a
\n" ); document.write( "3% profit and Fund B returned a 6% profit. How much did he invest in Fund A, if the total profit from the two funds together was $1830
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Algebra.Com's Answer #550702 by richwmiller(17219)\"\" \"About 
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We don't know the total invested. We know the difference in the two accounts.
\n" ); document.write( "We know that the interest for the two accounts is $1830
\n" ); document.write( "0.06*x+0.03*y=1830
\n" ); document.write( "We know that the account at 6% has $8000 more.
\n" ); document.write( "x=8000+y
\n" ); document.write( "We substitute for x
\n" ); document.write( "0.06*(8000+y)+0.03*y=1830
\n" ); document.write( "We multiply out
\n" ); document.write( "480+0.06y+0.03*y=1830
\n" ); document.write( "We combine like terms.
\n" ); document.write( "0.09*y=1350
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$15000 at 3%
\n" ); document.write( "x=8000+y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$23000 at 6%
\n" ); document.write( "Total invested $23000+$15000=$38000
\n" ); document.write( "We check
\n" ); document.write( "0.06*23000+0.03*15000=1830
\n" ); document.write( "1380+450=1830
\n" ); document.write( "1830=1830
\n" ); document.write( "Since this statement is TRUE then it is ok
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