<|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
 An educational center received an object with a volume of around 150 monoliths (a container designed for 150 monoliths that was almost full). Each monolith is identified either as sandy loam or loam and classified by its genesis as either marine or lake-glacial deposits. The relative frequency (statistical probability) that a randomly selected monolith is sandy loam is $\frac{2}{11}$. Meanwhile, the relative frequency that a randomly selected monolith is marine loam is $\frac{7}{13}$. How many total monoliths of lake-glacial genesis does the object contain, given that there are no marine sandy loams? 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
80
An educational center received an object with a volume of around 150 monoliths (a container designed for 150 monoliths that was almost full). Each monolith is identified either as sandy loam or loam and classified by its genesis as either marine or lake-glacial deposits. The relative frequency (statistical probability) that a randomly selected monolith is sandy loam is $\frac{2}{11}$. Meanwhile, the relative frequency that a randomly selected monolith is marine loam is $\frac{7}{13}$. How many total monoliths of lake-glacial genesis does the object contain, given that there are no marine sandy loams?
test