document.write( "Question 1187265: Hi
\n" ); document.write( "Brian had a sum of money. He spent an equal amount of money each day. After 6 days he had 3/5 of his money left. 3 days later he had 360 dollars left. How much did he have at first.\r
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Algebra.Com's Answer #818213 by ikleyn(52909) $\"\"$ $\"About$

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\n" ); document.write( "Brian had a sum of money. He spent an equal amount of money each day.
\n" ); document.write( "After 6 days he had 3/5 of his money left. 3 days later he had 360 dollars left.
\n" ); document.write( "How much did he have at first.
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document.write( "From the condition, you see that Brian spent  1 - 3/5 = 2/5  of his money in 6 day.\r\n" );
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document.write( "Keeping the same rate, in the next 3 days he will spend half of 2/5, which is 1/5.\r\n" );
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document.write( "So,  in 6 + 3 = 9 days  Brian will spend  2/5 + 1/5 = 3/5  of his money.\r\n" );
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document.write( "Hence, after 9 days Brian will still have  1- 3/5 = 2/5  of his money left.\r\n" );
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document.write( "Thus 2/5 of his money is 360 dollars.\r\n" );
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document.write( "Hence,  1/5  of his money is half of  360  dollars,  i.e.  180 dollars.\r\n" );
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document.write( "It means that  Brian had initially  5 times as much as 180 dollars, i.e.  900  dollars.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved (mentally, by reasoning, without using equations).\r
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