At first Jeff paid, $300/month x 12 months = $<<300*12=3600>>3,600/year

He paid $3,600/year x 3 years = $10,800 the firsts 3 years.

The final 2 years he paid $350/month x 12 months = $<<350*12=4200>>4,200/year

He paid $4,200/year x 2 years = $<<4200*2=8400>>8,400 the last 2 years.

He paid the owner $10,800 + $8,400 = $<<10800+8400=19200>>19,200 in total.

# Answer

19200
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Jeff wanted to rent an apartment to live in for the next 5 years until he finishes his studies. He found a nice apartment next to his school, the owner asks Jeff to pay $300 each month, Jeff agreed, and for the first 3 years everything went fine, but then the owner wanted to raise the price for each month to $350. Jeff agreed again and continued paying until he graduated. How much did Jeff end up paying for the apartment throughout the 5 years?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
19200
Jeff wanted to rent an apartment to live in for the next 5 years until he finishes his studies. He found a nice apartment next to his school, the owner asks Jeff to pay $300 each month, Jeff agreed, and for the first 3 years everything went fine, but then the owner wanted to raise the price for each month to $350. Jeff agreed again and continued paying until he graduated. How much did Jeff end up paying for the apartment throughout the 5 years?
train