Joelle ordered 12 dozen doughnuts for the honor roll breakfast at the middle school.
• 3/8
of the doughnuts have chocolate icing.
• 1/4
of the doughnuts have white icing with sprinkles.
• 1/6
of the doughnuts have pink icing.
• The rest are plain glazed doughnuts.
How many doughnuts are plain glazed doughnuts?
To find the number of plain glazed doughnuts, first calculate the total number of doughnuts with icing.
The number of chocolate icing doughnuts is 3/8 * 12 dozen = 3/8 * 12 * 12 = 36 doughnuts.
The number of white icing with sprinkles doughnuts is 1/4 * 12 dozen = 1/4 * 12 * 12 = 36 doughnuts.
The number of pink icing doughnuts is 1/6 * 12 dozen = 1/6 * 12 * 12 = 24 doughnuts.
Therefore, the total number of doughnuts with icing is 36 + 36 + 24 = 96 doughnuts.
The total number of doughnuts is 12 dozen * 12 = 144 doughnuts.
Thus, the number of plain glazed doughnuts is 144 - 96 = 48 doughnuts. Answer: \boxed{48}.
To find out how many doughnuts are plain glazed, we need to subtract the number of doughnuts with chocolate, white icing with sprinkles, and pink icing from the total number of doughnuts.
Let's calculate each step:
First, calculate the number of doughnuts that have chocolate icing:
3/8 * 12 dozen = (3/8) * 12 * 12 = 3 * 12 = 36 doughnuts.
Next, calculate the number of doughnuts that have white icing with sprinkles:
1/4 * 12 dozen = (1/4) * 12 * 12 = 1 * 12 = 12 doughnuts.
Now, calculate the number of doughnuts that have pink icing:
1/6 * 12 dozen = (1/6) * 12 * 12 = 2 * 12 = 24 doughnuts.
Finally, subtract the total number of doughnuts with chocolate, white icing with sprinkles, and pink icing from the total number of doughnuts:
Total number of doughnuts = 12 dozen * 12 = 144 doughnuts
Plain glazed doughnuts = Total number of doughnuts - (Number of doughnuts with chocolate + Number of doughnuts with white icing with sprinkles + Number of doughnuts with pink icing)
Plain glazed doughnuts = 144 - (36 + 12 + 24) = 144 - 72 = 72 doughnuts.
Therefore, there are 72 plain glazed doughnuts.
To find out the number of plain glazed doughnuts, we need to subtract the number of doughnuts with chocolate icing, white icing with sprinkles, and pink icing from the total number of doughnuts.
First, let's calculate the number of doughnuts with chocolate icing:
12 dozen doughnuts means 12 * 12 = 144 doughnuts.
Since 3/8 of the doughnuts have chocolate icing, we can calculate the number by multiplying the total number of doughnuts by the fraction: 144 * 3/8 = 54 doughnuts with chocolate icing.
Next, let's calculate the number of doughnuts with white icing and sprinkles:
Using the same method, 1/4 of the doughnuts have white icing with sprinkles. So, 144 * 1/4 = 36 doughnuts with white icing and sprinkles.
Now, let's calculate the number of doughnuts with pink icing:
Again, using the same method, 1/6 of the doughnuts have pink icing. So, 144 * 1/6 = 24 doughnuts with pink icing.
Finally, to find the number of plain glazed doughnuts, we subtract the sum of the doughnuts with different icings from the total number of doughnuts:
144 - (54 + 36 + 24) = 144 - 114 = 30 plain glazed doughnuts.
Therefore, there are 30 plain glazed doughnuts.