Let x = the number of marbles in the jar.

If 50% of the marbles are blue, and 25% of them are red, then the remaining 25% must be either green or yellow.

So 0.25 * x = 27 green marbles + 14 yellow marbles = 41 marbles.

So there are a total of 4 * 41 = <<4*41=164>>164 marbles in the jar.

# Answer

164
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
A jar full of marbles is sitting on a table. Half of the marbles are blue, a quarter of them are red, 27 of them are green, and 14 of them are yellow. How many marbles are in the jar?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
164
A jar full of marbles is sitting on a table. Half of the marbles are blue, a quarter of them are red, 27 of them are green, and 14 of them are yellow. How many marbles are in the jar?
train