If 10 half-gallons of milk bake 40 cookies, then one half-gallon of milk bakes 40/10 = 4 cookies.

If one half-gallon of milk bakes 4 cookies.

to bake 200 cookies, you'll need 200/4 = <<200/4=50>>50 half-gallons of milk

# Answer

50
<|im_start|>system
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<|im_start|>user
Juan needs 10 half-gallons of milk to bake 40 cookies with. How many half-gallons of milk does Juan need to bake 200 dozen cookies?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
50
Juan needs 10 half-gallons of milk to bake 40 cookies with. How many half-gallons of milk does Juan need to bake 200 dozen cookies?
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