Can someone please help me to set this problem up? Thank you.

Hamburgers sell for $3.00 each and cheeseburgers sell for $4.00 each. Bob sold a total of 400 burgers at the Marion Popcorn Festival, and he had total sales of $1,450. How many hamburgers did Bob sell? How many cheeseburgers did Bob sell?

Question

Can someone please help me to set this problem up? Thank you. 

Hamburgers sell for $3.00 each and cheeseburgers sell for $4.00 each. Bob sold a total of 400 burgers at the Marion Popcorn Festival, and he had total sales of $1,450. How many hamburgers did Bob sell? How many cheeseburgers did Bob sell?

amorfide · Answer

let ham be x
let cheese be y

3x+4y=1450
since it is 3dollar per ham
4 dollar per cheese
you can get a maximum of 1450

next we know 400 burgers are the maximum you can sell so you have
x+y=400

so you get simultaneous equations i believe

3x+4y=1450
x+y=400

amorfide · Answer

question is, why are they selling burgers a popcorn festival

anonymous · Answer

I appreciate your help. That is a good question... 
So much for the general cotton candy & popcorn, etc.

amorfide · Answer

hope you can solve it from this, if not let me know

anonymous · Answer

I am going to subtraction 400 for both sides?

jdoe0001 · Answer

well.. maybe the burgers are just corn-burgers and include a free soda and butter, and they're complementing the popcorn  =)

anonymous · Answer

Great idea. ;)  Would you be able to help me with this question? I'm unsure how to set it up in order to get both answers of the hamburgers and cheeseburgers.