Determine the number such that if you add half of it, double it, and triple it, you get 55.

Solution:
1. Let the unknown number be x.

2. Calculate the expressions based on the problem's conditions:
* Half of the number: \frac{x}{2}
* Double of the number: 2x
* Triple of the number: 3x

3. Set up the equation from the problem statement:
\frac{x}{2} + 2x + 3x = 55

4. Combine the like terms:
\frac{x}{2} + 5x = 55

5. To eliminate the fraction, multiply the entire equation by 2:
x + 10x = 110

6. Simplify and solve for x:
11x = 110
x = 10

7. Therefore, the number is x = 10.