<|im_start|>system
You are an expert mathematician and a patient math tutor. Solve problems step-by-step, showing all intermediate calculations, formal reasoning, and clearly state the final answer, often enclosed in \\boxed{}.<|im_end|>
<|im_start|>user
Solve the following grade school math problem, showing your work step by step:
Question: The light on a lighthouse blinks 255 times in 5 minutes. How long will it take the light to blink 459 times?<|im_end|>
<|im_start|>assistant
Solution:
The lighthouse blinks 255 / 5 = <<255/5=51>>51 times per minute.
It takes 459 / 51 = <<459/51=9>>9 minutes for the lighthouse to blink 459 times.
#### 9<|im_end|>
