<|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
 A class composed of 12 girls and 10 boys was sent to the library for their reading class. Their teacher found out that only 5/6 of the girls and 4/5 of the boys are reading. In addition, the girls read at a rate of 3 books per week on average, while the boys read 2 books per week on average. Furthermore, among the students who are reading, 20% of the girls read at a faster rate of 5 books per week, while 10% of the boys read at a slower rate of 1 book per week. Calculate the total number of books read by the whole class per week, given the varying reading rates and considering the students who are not reading. 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
49
A class composed of 12 girls and 10 boys was sent to the library for their reading class. Their teacher found out that only 5/6 of the girls and 4/5 of the boys are reading. In addition, the girls read at a rate of 3 books per week on average, while the boys read 2 books per week on average. Furthermore, among the students who are reading, 20% of the girls read at a faster rate of 5 books per week, while 10% of the boys read at a slower rate of 1 book per week. Calculate the total number of books read by the whole class per week, given the varying reading rates and considering the students who are not reading.
test