document.write( "Question 945688: Question : Nico invests some money at 9% and $1,400 less than that amount of 8%. The investments produced a total of $296 interest in 1 year. How much did he invest at each rate?
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\n" ); document.write( "How I tried to solve:\r
\n" ); document.write( "\n" ); document.write( " Step 1) .09x+.08(x-1,400)=1,400\r
\n" ); document.write( "\n" ); document.write( "Step 2) 100( .09x +.08 (x-1,400) = 1,400 (100)\r
\n" ); document.write( "\n" ); document.write( "Step 3) 9x+8x-11,200=1,400,000\r
\n" ); document.write( "\n" ); document.write( "Step 4) 17x= 1,388,800\r
\n" ); document.write( "\n" ); document.write( "Step 5) x= 81,694\r
\n" ); document.write( "\n" ); document.write( "Step 6) x-1,400= 81,694\r
\n" ); document.write( "\n" ); document.write( "Step 7) x- 1,400 = 81,694- 1,400\r
\n" ); document.write( "\n" ); document.write( "Step 8) x= 80,294\r
\n" ); document.write( "\n" ); document.write( "Step 9) he invested $81,694 at 9% and $80,294 at 8% \r
\n" ); document.write( "\n" ); document.write( "*Step 9 is the two incorrect answers that I got towards this problem. Please help me with a step by step solution to this problem. Thank you.\r
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Algebra.Com's Answer #576845 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "The investments produced a total of $\"296\" interest in 1 year:\r
\n" ); document.write( "\n" ); document.write( "Step 1) \".09x%2B.08%28x-1400%29=296\"
\n" ); document.write( "Step 2) \"100%28.09x%2B.08%28x-1400%29%29=+296%28100%29\"
\n" ); document.write( "Step 3) \"9x%2B8x-11200=29600\"
\n" ); document.write( "Step 4) \"17x=+29600%2B11200=40800\"
\n" ); document.write( "Step 5) \"x=+40800%2F17\"=>\"highlight%28x=2400%29\"
\n" ); document.write( "Step 6) \"x-1400=+2400-1400\"
\n" ); document.write( "Step 7) \"highlight%28x-+1400+=+1000%29\"
\n" ); document.write( "Step 8) he invested $\"2400\" at \"9\"% and $\"1000\" at \"8\"%
\n" ); document.write( "Step 9)\"+total_investment=2400%2B1000=3400\"\r
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"9\"% of \"2400\" is \"2400%2A%289%2F100%29=24%2A9=216\"
\n" ); document.write( "\"8\"% of \"1000\" is \"1000%288%2F100%29=10%2A8=80\"\r
\n" ); document.write( "\n" ); document.write( "\"216%2B80=296\" which confirms our answer
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