SOLUTION: Two of the longest-running Broadway shows were Cats, which played from 1982 through 2000, and Les Misérables, which played from 1987 through 2003. Together, there were 14,165 perfo

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Two of the longest-running Broadway shows were Cats, which played from 1982 through 2000, and Les Misérables, which played from 1987 through 2003. Together, there were 14,165 perfo      Log On


   

Question 1002207: Two of the longest-running Broadway shows were Cats, which played from 1982 through 2000, and Les Misérables, which played from 1987 through 2003. Together, there were 14,165 performances of these two shows during their Broadway runs. There were 805 fewer performances of Les Misérables than of Cats. How many performances were there of each show?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +c+ = number of performances of cats
+c+-+805+ = number of performances of Les Mis
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+c+%2B+c+-+805+=+14165+
+2c+=+14165+%2B+805+
+2c+=+14970+
+c+=+7485+
+c+-+805+=+6680+
There were 7,485 performances of cats and 6,680 performances of Les Mis
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check:
+7485+%2B+6680+=+14165+
+14165+=+14165+
OK