SOLUTION: Peter has a hot dog stand in the mall. He pays $2000 per month to rent the space. Each hot dog, including the bun and all the condiments, costs him $0.50. The price of the hot dogs

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Peter has a hot dog stand in the mall. He pays $2000 per month to rent the space. Each hot dog, including the bun and all the condiments, costs him $0.50. The price of the hot dogs      Log On


   

Question 1016563: Peter has a hot dog stand in the mall. He pays $2000 per month to rent the space. Each hot dog, including the bun and all the condiments, costs him $0.50. The price of the hot dogs for customers is $3. How many hot dogs does peter need to sell to break even? If he sells 1000 hot dogs, what will his profit be?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +P+ = his profit
Let +n+ = number of hot dogs
per month he sells
+P+=+3n+-+2000+-+.5n+
When he breaks even, +P+=+0+
+0+=+3n+-+2000+-+.5n+
+2.5n+=+2000++
+n+=+800+
If he sells 800 hot dogs, he breaks even
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If he sells 1000 hot dogs
+P+=+3n+-+2000+-+.5n+
+P+=+2.5%2A1000+-+2000++
+P+=+2500+-+2000+
+P+=+500+
His profit would be $500