document.write( "Question 1095729: A group of 156 tourists had enough food for a stay of 125 days in the mountains. However, just before they left, n tourists left the group, and this meant that the group had enough food to stay for another 70 days. How many left the group? \n" ); document.write( "

Algebra.Com's Answer #710273 by greenestamps(13200) $\"\"$ $\"About$

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josmiceli's solution is valid; however, usually inverse proportion problems are solved with less work if you use the idea that the product of the two quantities is a constant. So instead of doing
\n" ); document.write( " $\"156+=+k%2F125\"$
\n" ); document.write( "to solve for the constant k, simply do
\n" ); document.write( " $\"156%2A125+=+n%2A195\"$

\n" ); document.write( "The solution to that equation is n=100; that means the number of tourists that left is 156-100 = 56. \n" ); document.write( "

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