<|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
 Happy Cattle Ranch is home to 200 cows of three different breeds - Breed A, Breed B, and Breed C. The ranch has twice as many cows of Breed A as Breed B, and three times as many cows of Breed C as Breed A. Every year, the breeding rates for each breed are as follows: mother cows of Breed A have enough calves to increase the total number of Breed A cows by 50%, mother cows of Breed B have enough calves to increase the total number of Breed B cows by 25%, and mother cows of Breed C have enough calves to increase the total number of Breed C cows by 40%. If the rancher does not buy or sell any cows, how many cows will the rancher own on Happy Cattle Ranch in two years? 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
389
Happy Cattle Ranch is home to 200 cows of three different breeds - Breed A, Breed B, and Breed C. The ranch has twice as many cows of Breed A as Breed B, and three times as many cows of Breed C as Breed A. Every year, the breeding rates for each breed are as follows: mother cows of Breed A have enough calves to increase the total number of Breed A cows by 50%, mother cows of Breed B have enough calves to increase the total number of Breed B cows by 25%, and mother cows of Breed C have enough calves to increase the total number of Breed C cows by 40%. If the rancher does not buy or sell any cows, how many cows will the rancher own on Happy Cattle Ranch in two years?
test