<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 At a certain fruit stand, the price of each apple is 50 cents and the price of each orange is some cents. Mary selects a total of 10 apples and oranges from the fruit stand, and the average (arithmetic mean) price of the 10 pieces of fruit is 56 cents. Mary must put back 5 oranges so that the average price of the pieces of fruit that she keeps is 52 cents. What is the price of each orange? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
60
At a certain fruit stand, the price of each apple is 50 cents and the price of each orange is some cents. Mary selects a total of 10 apples and oranges from the fruit stand, and the average (arithmetic mean) price of the 10 pieces of fruit is 56 cents. Mary must put back 5 oranges so that the average price of the pieces of fruit that she keeps is 52 cents. What is the price of each orange?
test