Answer :
Answer:
Step-by-step explanation:
To find out how many more batches of cupcakes or muffins Lucinda can make with the remaining flour, we first need to calculate how much flour each batch of cupcakes and muffins requires.
For cupcakes:
1 batch requires 1/3 ounce of flour
For muffins:
1 batch requires 1/4 ounce of flour
Now, we need to determine which type of batch (cupcakes or muffins) Lucinda can make more of with the given 9 pinches of flour.
Let's start with cupcakes:
Lucinda has 9 pinches of flour.
1 pinch is approximately 1/16 ounce (a common conversion).
So, 9 pinches would be 9 * (1/16) = 9/16 ounces of flour.
To find out how many batches of cupcakes she can make with 9/16 ounces of flour, we divide the total flour by the amount of flour required for each batch of cupcakes:
Number of batches of cupcakes = (Total flour) / (Flour per batch of cupcakes)
= (9/16) / (1/3)
= (9/16) * (3/1)
= (9/16) * 3
= 27/16
Now, let's calculate how many batches of muffins Lucinda can make:
Number of batches of muffins = (Total flour) / (Flour per batch of muffins)
= (9/16) / (1/4)
= (9/16) * (4/1)
= (9/16) * 4
= 36/16
Now we compare the results:
Lucinda can make approximately 27/16 batches of cupcakes.
Lucinda can make approximately 36/16 batches of muffins.
Lucinda can make more batches of muffins. However, considering we can't have a fraction of a batch, she can make a maximum of 2 batches of muffins with 9 pinches of flour.
