Let $x$ be the total number of bows in the jumbo bag.
We know that $\frac{1}{5}x$ are red, $\frac{1}{2}x$ are blue, $\frac{1}{10}x$ are green, and 30 are white.
The sum of these fractions must equal 1, since they represent the entire bag of bows.
So we have the equation $\frac{1}{5}x + \frac{1}{2}x + \frac{1}{10}x + 30 = x$.
Multiplying both sides of the equation by 10 to eliminate the fractions, we have $2x + 5x + x + 300 = 10x$.
Simplifying, we get $8x + 300 = 10x$.
Subtracting $8x$ from both sides, we have $300 = 2x$.
Dividing both sides by 2, we find that $x = 150$.
Therefore, there are $\frac{1}{10}x = \frac{1}{10}(150) = \boxed{15}$ green bows.
The answer is: 15
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
In a jumbo bag of bows, $\frac{1}{5}$ are red, $\frac{1}{2}$ are blue, $\frac{1}{10}$ are green and the remaining 30 are white. How many of the bows are green?

### Answer:
