document.write( "Question 177813: I had a sum of money.I spent the 1/5 of the money and 50$.Than I spent the 1/5 of the remaining money and 30$.Once again , I spent the 1/5th of the remaining money and 20$.At last,I had 100$ left with me.HOw much money did i have at the beginning? PLESE HELP !!!!!!!!!! OH GOD !!!!!!!!!!THANKS !!!!!!!!!!!! \n" ); document.write( "
Algebra.Com's Answer #132808 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
Let x = amount you had at the beginning
\n" ); document.write( "then, looking at each sentence:
\n" ); document.write( "\"I spent the 1/5 of the money and 50$.\"
\n" ); document.write( "x - (1/5)x - 50
\n" ); document.write( "= (4/5)x - 50
\n" ); document.write( ".
\n" ); document.write( "\"Then I spent the 1/5 of the remaining money and 30$.\"
\n" ); document.write( "[(4/5)x - 50]- (1/5)[(4/5)x - 50] -30
\n" ); document.write( "= [(4/5)x - 50]- [(4/25)x - 10] -30
\n" ); document.write( "= (4/5)x - 50 - (4/25)x + 10 -30
\n" ); document.write( "= (20/25)x - 50 - (4/25)x - 20
\n" ); document.write( "= (16/25)x - 70
\n" ); document.write( ".
\n" ); document.write( "\"I spent the 1/5th of the remaining money and 20$.\"
\n" ); document.write( "[(16/25)x - 70] - (1/5)[(16/25)x - 70] - 20
\n" ); document.write( "= [(16/25)x - 70] - [(16/125)x - 14] - 20
\n" ); document.write( "= (16/25)x - 70 - (16/125)x + 14 - 20
\n" ); document.write( "= (80/125)x - 70 - (16/125)x - 6
\n" ); document.write( "= (64/125)x - 76
\n" ); document.write( ".
\n" ); document.write( "And since you had $100 left:
\n" ); document.write( "100 = (64/125)x - 76
\n" ); document.write( "176 = (64/125)x
\n" ); document.write( "22000 = (64)x
\n" ); document.write( "$343.75 = x
\n" ); document.write( " \n" ); document.write( "
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