To determine which of the given problems can be solved by finding [tex]\( 8 \div \frac{1}{4} \)[/tex], let's analyze each problem step by step:
### Problem 1:
The cafeteria starts the day with 8 pans of brownies. Each serving is [tex]\( \frac{1}{4} \)[/tex] pan. How many servings of brownies do they have?
To find out how many servings of brownies the cafeteria has, we need to figure out how many [tex]\( \frac{1}{4} \)[/tex] pan servings can be made from 8 pans.
The operation required is [tex]\( 8 \div \frac{1}{4} \)[/tex].
Calculating this:
[tex]\[ 8 \div \frac{1}{4} = 8 \times 4 = 32 \][/tex]
So, the cafeteria has 32 servings of brownies.
### Problem 2:
8 people equally share 4 pounds of chili. How much chili does each person get?
To determine how much chili each person gets, we divide the total amount of chili (4 pounds) by the number of people (8).
The operation required is [tex]\( 4 \div 8 \)[/tex].
Calculating this:
[tex]\[ 4 \div 8 = \frac{1}{2} \][/tex]
Each person gets 0.5 pounds of chili.
### Problem 3:
Nikhil is writing an 8-page essay. He writes 4 pages of the essay. How many pages has Nikhil written?
This is a straightforward question where we are directly told the number of pages Nikhil has written, which is 4. There’s no calculation involving division by [tex]\( \frac{1}{4} \)[/tex] here.
So, Nikhil has written 4 pages.
### Problem 4:
A recipe calls for [tex]\( \frac{1}{4} \)[/tex] cup of flour. How much flour is needed for 8 batches of the recipe?
To find out how much flour is needed in total for 8 batches, we multiply the amount of flour needed for one batch by the number of batches.
The operation required is [tex]\( 8 \times \frac{1}{4} \)[/tex].
Calculating this:
[tex]\[ 8 \times \frac{1}{4} = 2 \][/tex]
So, for 8 batches, 2 cups of flour are needed.
### Conclusion:
Out of all the problems, the first problem can be solved by finding [tex]\( 8 \div \frac{1}{4} \)[/tex]. This involves figuring out how many [tex]\( \frac{1}{4} \)[/tex] pan servings can be made from 8 pans, which results in 32 servings.
