document.write( "Question 1120678: Please Help me solve this question\r
\n" ); document.write( "\n" ); document.write( " A garrison has provisions for a certain number of days; after 10 days 1/5 of the men desert and it is found the provisions will last just as long as before; how long was that?
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Algebra.Com's Answer #736344 by rothauserc(4718)\"\" \"About 
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let n be the number of men and x be the number of days
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\n" ); document.write( "after 10 days, there are 4n/5 men
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\n" ); document.write( "x/n is the potion of the provisions per man
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\n" ); document.write( "x/n = (x-10)/(4n/5)
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\n" ); document.write( "cross multiply the fractions
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\n" ); document.write( "4nx/5 = nx -10n
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\n" ); document.write( "multiply both sides of = by 5
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\n" ); document.write( "4nx = 5nx -50n
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\n" ); document.write( "nx = 50n
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\n" ); document.write( "x = 50
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\n" ); document.write( "the provisions last for 50 days
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