document.write( "Question 353616: Billy invests $12,000. Part of it at 4% intrest and the rest at 5.5%. If his interest was $532.50 how much did he invest at each rate? \n" ); document.write( "
Algebra.Com's Answer #252766 by JBarnum(2146)\"\" \"About 
You can put this solution on YOUR website!
all these money type problems are set up the same way once u get used to seeing the pattern then you wont have trouble figuring out what needs to be done
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\n" ); document.write( "total=$12000
\n" ); document.write( "to get total add both portions x+y
\n" ); document.write( "so \"x%2By=12000\"
\n" ); document.write( "4%=.04 and 5.5%=.055
\n" ); document.write( "the total interest amount is $532.50
\n" ); document.write( "so\".04x%2B.055y=532.5\"
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\n" ); document.write( "So you have now found your 2 equations to bea ble to solve this problem, once you get used to doing these this process to finding the equations will come naturally.
\n" ); document.write( "\"x%2By=12000\"
\n" ); document.write( "\".04x%2B.055y=532.5\"
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\n" ); document.write( "\n" ); document.write( "You can solve by elimination or by substitution whichever you find more comfortable using, I like Elimination method as it is much faster.
\n" ); document.write( "\"x%2By=12000\" multiply by .055
\n" ); document.write( "\".04x%2B.055y=532.5\"
\n" ); document.write( ".
\n" ); document.write( "\".055x%2B.055y=660\"
\n" ); document.write( "\".04x%2B.055y=532.5\" subtract equations
\n" ); document.write( "-------------------------
\n" ); document.write( "\".015x=127.5\" divide by .015
\n" ); document.write( "\"highlight%28x=8500%29\" this is the portion at 4% interest
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\n" ); document.write( "Now instead of doing that whole process over to find \"y\" simply plug in the value of \"x\" in the equation \"x%2By=12000\"
\n" ); document.write( "\"%288500%29%2By=12000\"
\n" ); document.write( "\"highlight%28y=3500%29\" this is the portion at 5.5% interest \n" ); document.write( "

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