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 answer the following question by reasoning step-by-step.
10
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 = 10.

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Therefore, the answer is 10