To find the fraction of the donuts that were cinnamon, we first need to determine how many donuts were cinnamon.
- The total number of donuts is 100.
- The number of chocolate donuts is 40.
- The number of glazed donuts is 31.
Now, let's find out how many donuts are cinnamon:
Total donuts = Chocolate donuts + Glazed donuts + Cinnamon donuts
100 = 40 + 31 + Cinnamon donuts
Now, we can solve for the number of cinnamon donuts:
Cinnamon donuts = 100 - (40 + 31)
Cinnamon donuts = 100 - 71
Cinnamon donuts = 29
Now, we can express the number of cinnamon donuts as a fraction of the total number of donuts:
Fraction of cinnamon donuts = Number of cinnamon donuts / Total number of donuts
Fraction of cinnamon donuts = 29 / 100
Looking at the provided options, the correct answer is:
29/100 which is how many of the donuts were cinnamon. (Note that this specific option wasn't listed; please check whether you might have miswritten any of the original options).