SOLUTION: A local hamburger shop sold a combined total of 700 hamburgers and cheeseburgers on Tuesday. There were 50 more cheeseburgers sold than hamburgers. How many hamburgers were sold on

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Question 626019: A local hamburger shop sold a combined total of 700 hamburgers and cheeseburgers on Tuesday. There were 50 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Tuesday?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +c+ = number of cheeseburgers sold
Let +h+ = number of hamburgers sold
given:
(1) +c+%2B+h+=+700+
(2) +c+=+h+%2B+50+
----------------
(2) +c+-+h+=+50+
Now add (1) and (2)
(1) +c+%2B+h+=+700+
(2) +c+-+h+=+50+
+2c+=+750+
+c+=+375+
and
(1) +c+%2B+h+=+700+
(1) +375+%2B+h+=+700+
(1) +h+=+700+-+375+
(1) +h+=+325+
325 hamburgers were sold on tuesday
check:
50 more cheeseburgers than hamburgers? yes
+375+%2B+325+=+700+ ? yes