To find the number of gummy bears in the bag of candy, we start by using the given ratio of gummy bears to gummy worms, which is 5:4.
Let the number of gummy bears be represented by \( b \) and the number of gummy worms be represented by \( w \). According to the ratio, we can express this as:
\[ \frac{b}{w} = \frac{5}{4} \]
We know from the problem that the number of gummy worms \( w \) is 160. We can substitute this value into the ratio:
\[ \frac{b}{160} = \frac{5}{4} \]
Next, we can solve for \( b \) by cross-multiplying:
\[ b \cdot 4 = 5 \cdot 160 \]
Calculating the right side:
\[ b \cdot 4 = 800 \]
Now, divide both sides by 4 to isolate \( b \):
\[ b = \frac{800}{4} = 200 \]
Therefore, the number of gummy bears in the bag of candy is \( \boxed{200} \).