At the market, Mr. Shaefer sold half of the lychees, which is 1/2*500 = 250

The remaining number of lychees is 500-250 = <<500-250=250>>250

At home, they ate 3/5*250 = <<3/5*250=150>>150 lychees.

The total number of lychees remaining is 250-150 = <<250-150=100>>100

# Answer

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<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Mr. Shaefer harvested 500 lychees in a carton and took them to the market. He sold half of them and took home the remaining number of lychees where they ate 3/5 of them. Calculate the number of lychees remaining.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
100
Mr. Shaefer harvested 500 lychees in a carton and took them to the market. He sold half of them and took home the remaining number of lychees where they ate 3/5 of them. Calculate the number of lychees remaining.
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