To find the ratio of the strawberry-flavored candies to the total number of candies, we first need to determine the total number of candies.
The number of each type of candy is:
- Strawberry: 10
- Butterscotch: 13
- Root beer: 7
Now, we calculate the total number of candies:
\[ \text{Total candies} = 10 + 13 + 7 = 30 \]
Next, we express the ratio of strawberry-flavored candies to the total number of candies:
\[ \text{Ratio of strawberry to total} = \frac{10}{30} \]
This simplifies to:
\[ 10 : 30 \]
Therefore, the correct ratio that shows the quantity of the strawberry-flavored candy to the total number of candies Niko owns is:
10 : 30