<|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: Mr Boarden is remodeling his bathroom. For every square foot, he needs 24 mosaic tiles. How many mosaic tiles would Mr Boarden need to cover two thirds of his 36 sq ft bathroom?<|im_end|>
<|im_start|>assistant
Solution:
A third of Mr. Boarden's bathroom is 36/3 = <<36/3=12>>12 sqft
Two thirds of Mr. Boarden's bathroom is 12 x 2 = <<12*2=24>>24 sq ft
Mr. Boarden needs 24 x 24 = <<24*24=576>>576 mosaic tiles
#### 576<|im_end|>
