Sarah needs 2 1/3 cups of flour for a batch of cookies. How many complete batches can she make with 10 cups of flour?
I know the answer is 4. I need help with writing out the equation to show how I got my answer.
Thank you!
To determine the number of complete batches that Sarah can make with 10 cups of flour, you need to divide the total amount of flour by the amount of flour required per batch.
The amount of flour required per batch is given as 2 1/3 cups, which can also be written as a mixed number: 2 + 1/3.
Now, let's set up the equation:
Number of batches = Total amount of flour / Amount of flour per batch
In this case, the total amount of flour is 10 cups, and the amount of flour per batch is 2 + 1/3 cups.
Thus, the equation becomes:
Number of batches = 10 cups / (2 + 1/3 cups)
To simplify the calculation, let's convert the mixed number to an improper fraction:
2 + 1/3 = (2 * 3 + 1) / 3 = 7/3
Therefore, the equation becomes:
Number of batches = 10 cups / (7/3 cups)
To divide by a fraction, we multiply by its reciprocal:
Number of batches = 10 cups * (3/7 cups)
The cups unit cancels out, leaving us with:
Number of batches = 30 / 7
Now, divide 30 by 7:
Number of batches ≈ 4.2857
Since we can't have a fraction of a batch, we round down to the nearest whole number.
Therefore, Sarah can make 4 complete batches with 10 cups of flour.