document.write( "Question 639229: I am having trouble solving this word problem: \r
\n" ); document.write( "\n" ); document.write( "An amount of money is invested at 4% annual simple interest, and twice that amount is is invested at 5%. The total annual interested is $112. How much is invested at each rate?\r
\n" ); document.write( "\n" ); document.write( "I would like to see what the equation would be to help solve a problem like this. Thanks!
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Algebra.Com's Answer #402736 by cta1987(8)\"\" \"About 
You can put this solution on YOUR website!
I=prt\r
\n" ); document.write( "\n" ); document.write( "Since the word problem did not mention time, it is understood to be 1 year.\r
\n" ); document.write( "\n" ); document.write( "interest=112
\n" ); document.write( "principal=0.04x
\n" ); document.write( "rate=0.05(2x)
\n" ); document.write( "time=1 year\r
\n" ); document.write( "\n" ); document.write( "0.04x+0.05(2x)=112
\n" ); document.write( "100(0.04x+0.05[2x]=112)
\n" ); document.write( "4x+10x=11200
\n" ); document.write( "14x=11200
\n" ); document.write( "x=800\r
\n" ); document.write( "\n" ); document.write( "Checking
\n" ); document.write( "0.05(2)(800)=80
\n" ); document.write( "0.04(800)=32
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