Final answer:
Tyra can make 6 batches of cookies using 4 1/2 cups of sugar, as she requires 3/4 cup of sugar per batch and simply performs the division of 4 1/2 cups by 3/4 cup.
Step-by-step explanation:
The student asked how many batches of cookies Tyra can make if she uses 3/4 cup of sugar for each batch and has 4 1/2 cups of sugar in total. To find the answer, we divide the total amount of sugar Tyra has by the amount of sugar required for one batch.
First, we convert the mixed number to an improper fraction:
- 4 1/2 cups = (4 × 2 + 1)/2 = 9/2 cups
Then, we divide this by 3/4 cup to find the number of batches:
- (9/2) ÷ (3/4) = (9/2) × (4/3) = 36/6 = 6 batches
So, Tyra can make 6 batches of cookies with 4 1/2 cups of sugar.