First find the number of schools Mandy applied to: 42 med schools / 3 = <<42/3=14>>14 med schools

Then divide that number by 2 to find the number of schools where she was accepted: 14 med schools / 2 = <<14/2=7>>7 med schools

# Answer

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<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Mandy researched 42 med schools. She applied to 1/3 of the schools she researched and got into half of the schools where she applied. How many schools was Mandy accepted to?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
7
Mandy researched 42 med schools. She applied to 1/3 of the schools she researched and got into half of the schools where she applied. How many schools was Mandy accepted to?
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