SOLUTION: sold 336 hot dogs and hamburgers. the number of hot dogs sold was 3/4 of the hamburgers. how many hot dogs were sold

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Question 1017042: sold 336 hot dogs and hamburgers. the number of hot dogs sold was 3/4 of the hamburgers. how many hot dogs were sold
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of hot dogs sold
+336+-+n+ = number of hamburgers sold
-----------------
given:
+n+=+%283%2F4%29%2A%28+336+-+n+%29+
+4n+=+3%2A%28+336+-+n+%29+
+4n+=+1008+-+3n+
+7n+=+1008+
+n+=+144+
and
+336+-+n+=+336+-+144+
+336+-+n+=+192+
--------------------
144 hot dogs were sold
check:
+n+=+%283%2F4%29%2A%28+336+-+n+%29+
144+=+%283%2F4%29%2A192+
+4%2A144+=+3%2A192+
+576+=+576+
OK