document.write( "Question 908963: Sam 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 5% profit and Fund B returned a 3% profit. How much did he invest in Fund B, if the total profit from the two funds together was $640? \n" ); document.write( "
Algebra.Com's Answer #551448 by richwmiller(17219)\"\" \"About 
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We don't know the total invested.
\n" ); document.write( "We know the difference in the two accounts.
\n" ); document.write( "We know that the interest for the two accounts is $640
\n" ); document.write( "0.03*x+0.05*y=640
\n" ); document.write( "We know that the account at 3% has $8000 more.
\n" ); document.write( "x=8000+y
\n" ); document.write( "We substitute for x
\n" ); document.write( "0.03*(8000+y)+0.05*y=640
\n" ); document.write( "We multiply out
\n" ); document.write( "240+0.03y+0.05*y=640
\n" ); document.write( "We combine like terms.
\n" ); document.write( "0.08*y=400
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$5000 at 5%
\n" ); document.write( "x=8000+y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$13000 at 3%
\n" ); document.write( "Now,we know the total invested is: 18000
\n" ); document.write( "Total invested $13000+$5000=$18000
\n" ); document.write( "We check
\n" ); document.write( "0.03*13000+0.05*5000=640
\n" ); document.write( "390+250=640
\n" ); document.write( "640=640
\n" ); document.write( "Since this statement is TRUE and neither x nor y is negative all is well.
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