document.write( "Question 1201382: Hi
\n" ); document.write( "The ratio of 20cent coins and 10cent coins was 4:7 respectively. After exchanging 8 20cent coins for 10cent coins the ratio became 2:11 . How much money did Bob have at first.
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Algebra.Com's Answer #835727 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "The ratio of 20cent coins and 10cent coins was 4:7 respectively.
\n" ); document.write( "After exchanging 8 20cent coins for 10cent coins the ratio became 2:11 .
\n" ); document.write( "How much money did Bob have at first.
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document.write( "At first, there were 4x 20-cent coins and 7x 10-cent coins.\r\n" );
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document.write( "After exchange 8 20-cent coins for 10-cent coins, there were \r\n" );
document.write( "(4x-8) 20-cent coins and (7x+16) 10-cent  coins.\r\n" );
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document.write( "Your equation is\r\n" );
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document.write( "Solve and find x\r\n" );
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document.write( "    11*(4x-8) = 2*(7x+16)\r\n" );
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document.write( "    44x - 88 = 14x + 32\r\n" );
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document.write( "    44x-14x = 32 + 88\r\n" );
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document.write( "      30x   =    120\r\n" );
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document.write( "        x   =    120/30 = 4.\r\n" );
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document.write( "At first, there were 20*4x + 10*7x  = 80x + 70x = 150x = 150*4 = 600 cents = 6 dollars.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "It is a standard style which @Theo uses in solving Algebra problems and presenting his solutions: \r
\n" ); document.write( "\n" ); document.write( "he takes the most inappropriate approach and writes a solution in 3-5 times longer than it should be.\r
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\n" ); document.write( "\n" ); document.write( "He repeats it every day, from month to month.\r
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\n" ); document.write( "\n" ); document.write( "As soon as he sees my short solution, he considers it as his duty to write his own solution in 3 - 5 times longer.\r
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\n" ); document.write( "\n" ); document.write( "I can not imagine a person in healthy mind who will read such solutions.\r
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