document.write( "Question 1184755: Monica spent \"1%2F2\" of her money and another $5 on prawns. She then
\n" ); document.write( "spent \"1%2F2\" of the remaining money and another $3 on chickens. Finally,
\n" ); document.write( "she spent \"1%2F2\" of what was left and another $2 on vegetables. She
\n" ); document.write( "was left with $1.50 in the end. How much money did she have at
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Algebra.Com's Answer #815397 by ikleyn(52790)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Monica spent \"1%2F2\" of her money and another $5 on prawns.
\n" ); document.write( "She then spent \"1%2F2\" of the remaining money and another $3 on chickens.
\n" ); document.write( "Finally, she spent \"1%2F2\" of what was left and another $2 on vegetables.
\n" ); document.write( "She was left with $1.50 in the end. How much money did she have at first?
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document.write( "Solve the problem in a backward manner.\r\n" );
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document.write( "For it, represent Monica spendings by steps.\r\n" );
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document.write( "    (1)  She spent \"1%2F2\" of her money and another $5 on prawns. \r\n" );
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document.write( "    (2)  She then spent \"1%2F2\" of the remaining money and another $3 on chickens. \r\n" );
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document.write( "    (3)  Finally, she spent \"1%2F2\" of what was left and another $2 on vegetables. \r\n" );
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document.write( "    (4)  She was left with $1.50 in the end.\r\n" );
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document.write( "It means that immediately before step (3), she had  (1.50 + 2)*2 = 3.50*2 = 7 dollars.\r\n" );
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document.write( "Hence, immediately before step (2), she had (7 + 3)*2 = 10*2 = 20 dollars.\r\n" );
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document.write( "It means that immediately before step (1), she had  (20+5)*2 = 25*2 = 50 dollars.\r\n" );
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document.write( "So, at first, Monica had 50 dollas.    ANSWER\r\n" );
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document.write( "You can check my answer by moving from the beginning to the end.\r\n" );
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