document.write( "Question 188298This question is from textbook Teaching Textbook
\n" ); document.write( ": Annie-Sophie invested some of her $20,000 in bonds that made an 8% profit and the rest in bonds that made a 7% profit. If the profit on the 8% bonds was $700 more than the profit on the 7% bonds, how much did Anne-Sophie invest in the 7% bonds? \n" ); document.write( "
Algebra.Com's Answer #141430 by jojo14344(1513)\"\" \"About 
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\n" ); document.write( "Let x = money invested money that made 8% profit\r
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\n" ); document.write( "\n" ); document.write( "Then, $20,000 - x = money invested at 7% profit\r
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\n" ); document.write( "\n" ); document.write( "Also, let y = profit for 7% bonds\r
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\n" ); document.write( "\n" ); document.write( "Then again, $700 + y = profit for 8%, $700 more than profit on 7%.\r
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\n" ); document.write( "\n" ); document.write( "Putting into eqn for 8%:
\n" ); document.write( "\"0.08%28x%29=700%2By\" --------------------> Eqn 1\r
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\n" ); document.write( "\n" ); document.write( "Putting into eqn for 7%:
\n" ); document.write( "\"%2820000-x%29%280.07%29=y\" ----------------> Eqn 2\r
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\n" ); document.write( "\n" ); document.write( "In Eqn 1 we get, \"y=0.08%28x%29-700\" -----> Eqn 3, substitute in Eqn 2:\r
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\n" ); document.write( "\n" ); document.write( "\"%282000-x%29%280.07%29=highlight%28%280.08%29%28x%29-700%29\"
\n" ); document.write( "\"1400-0.07x=0.08x-700\"
\n" ); document.write( "\"1400%2B700=0.08x%2B0.07x\"
\n" ); document.write( "\"2100=0.15x\"------> \"cross%282100%2914000%2Fcross%280.15%29=cross%280.15%29x%2Fcross%280.15%29\"\r
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\n" ); document.write( "\n" ); document.write( "x = $14,000 money invested for 8%\r
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\n" ); document.write( "\n" ); document.write( "$20,000 - $14,000 = $6,000 money invested for 7%.( Answer)\r
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\n" ); document.write( "\n" ); document.write( "Let's check the Profit\r
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\n" ); document.write( "\n" ); document.write( "For 7%
\n" ); document.write( "$6000 x 0.07 = $420 \r
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\n" ); document.write( "\n" ); document.write( "For 8%
\n" ); document.write( "$14,000 x 0.08 = $1120 \r
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\n" ); document.write( "\n" ); document.write( "Profit (8%) - Profit (7%) = $1120 - $420 = $700
\n" ); document.write( "That is right, $700 more on 8%.\r
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\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
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