<|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
 Tiffany attends the carnival and her mother gives her $3 to play on a ring toss game. For every red bucket she tosses a ring into she gets 2 points. For every green bucket she gets three points, and for every rare blue bucket, she gets 5 points. She gets zero points for a miss. Blue buckets are harder to hit, with only a 10% success rate. Every play costs her $1 and she gets 5 rings per play. She's played two games and already gotten 4 red buckets, 5 green buckets, and 1 blue bucket. If she plays until her money runs out, what is the most total points she can get for all three games? 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
43
Tiffany attends the carnival and her mother gives her $3 to play on a ring toss game. For every red bucket she tosses a ring into she gets 2 points. For every green bucket she gets three points, and for every rare blue bucket, she gets 5 points. She gets zero points for a miss. Blue buckets are harder to hit, with only a 10% success rate. Every play costs her $1 and she gets 5 rings per play. She's played two games and already gotten 4 red buckets, 5 green buckets, and 1 blue bucket. If she plays until her money runs out, what is the most total points she can get for all three games?
test