A bakery made 100 donuts. In the display case,
40
100
were chocolate,
3
10
were glazed, and the rest were cinnamon. Which fraction of the donuts were cinnamon?
There are 100 - 70 = 30 cinnamon, so 3/10
To find the fraction of the donuts that were cinnamon, we need to subtract the number of chocolate donuts and the number of glazed donuts from the total number of donuts.
Total number of donuts = 100
Number of chocolate donuts = 40
Number of glazed donuts = 10
To calculate the number of cinnamon donuts, we subtract the sum of chocolate and glazed donuts from the total number of donuts:
Number of cinnamon donuts = Total number of donuts - Number of chocolate donuts - Number of glazed donuts
Number of cinnamon donuts = 100 - 40 - 10 = 50
So, there were 50 cinnamon donuts.
Since the question asks for the fraction of cinnamon donuts, we can express this as a fraction by putting the number of cinnamon donuts over the total number of donuts:
Fraction of cinnamon donuts = Number of cinnamon donuts / Total number of donuts
Fraction of cinnamon donuts = 50 / 100
Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor, we get:
Fraction of cinnamon donuts = 1/2
Therefore, the fraction of the donuts that were cinnamon is 1/2.