SOLUTION: In a certain office, 240 reams of bond paper were to be used in printing to be divided equally among a certain number of divisions. If there had been four divisions more, each woul

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: In a certain office, 240 reams of bond paper were to be used in printing to be divided equally among a certain number of divisions. If there had been four divisions more, each woul      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 943507: In a certain office, 240 reams of bond paper were to be used in printing to be divided equally among a certain number of divisions. If there had been four divisions more, each would have received 4/5 as many. How many divisions are there? ( answer is 16 - show your solution )
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = the number of divisions
+%28+4%2F5+%29%2A%28+240%2Fn+%29+=+240+%2F+%28+n+%2B+4+%29+
+4%2A%28+240%2Fn+%29+=+5%2A240+%2F+%28+n+%2B+4+%29+
+960%2Fn+=+1200+%2F+%28+n+%2B+4+%29+
+960%2A%28+n+%2B+4+%29+=+1200n+
+960n+%2B+3840+=+1200n+
+240n+=+3840+
+n+=+16+
There are 16 divisions
check:
+%28+4%2F5+%29%2A%28+240%2Fn+%29+=+240+%2F+%28+n+%2B+4+%29+
+%28+4%2F5+%29%2A%28+240%2F16+%29+=+240+%2F+20+
+960+%2F+80+=+120+%2F+10+
+12+=+12+
OK