You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \[ oxed{answer here} \] </answer>. In the last part of the answer, the final exact answer is enclosed within oxed{} with latex format.
system
During vacation, Jimmy visits different beaches on an island, so he changes his place of lodging from time to time. The first 3 days he stays in a hostel, where he is charged $15 per night. However, there is a 10% service tax that is added to the nightly charge. The fourth and fifth days he stays in a cabin where he shares expenses with 2 of his friends, and they are charged $45 total per night, with a 7% government tax charged on top of the base cost. On the third day, Jimmy gets a discount code from a fellow traveler, which gives him a 15% discount on the cabin for the 5th day. How much did Jimmy spend on lodging during his vacation, including taxes and considering the discount he received?
user
\$79.19
rule
During vacation, Jimmy visits different beaches on an island, so he changes his place of lodging from time to time. The first 3 days he stays in a hostel, where he is charged $15 per night. However, there is a 10% service tax that is added to the nightly charge. The fourth and fifth days he stays in a cabin where he shares expenses with 2 of his friends, and they are charged $45 total per night, with a 7% government tax charged on top of the base cost. On the third day, Jimmy gets a discount code from a fellow traveler, which gives him a 15% discount on the cabin for the 5th day. How much did Jimmy spend on lodging during his vacation, including taxes and considering the discount he received?
train