Let s be the number of cheerleaders who need a size 6 and t be the number who need a size 12.

We know that s = 2t and s + t + 4 = 19.

Substituting the first equation into the second equation, we get 2t + t + 4 = 19

Combining like terms, we get 3t + 4 = 19

Subtracting 4 from both sides, we get 3t = 15

Dividing both sides by 3, we get t = 5

Substituting that value back into the equation s = 2t, we get s = 2 * 5 = <<2*5=10>>10

# Answer

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<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
The cheerleading coach is ordering new uniforms. There are 4 cheerleaders who need a size 2, a certain number who need a size 6, and half that number who need a size 12. If there are 19 cheerleaders total, how many cheerleaders need a size 6?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
10
The cheerleading coach is ordering new uniforms. There are 4 cheerleaders who need a size 2, a certain number who need a size 6, and half that number who need a size 12. If there are 19 cheerleaders total, how many cheerleaders need a size 6?
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