Final answer:
Garnet can make 6 1/5 dozens of muffins with 15 1/2 cups of flour, as each dozen requires 2 1/2 cups of flour. Thus the correct answer is option C, 6(1)/(5).
Step-by-step explanation:
The question involves determining how many dozens of muffins can be made with 15 1/2 cups of flour, given that one dozen muffins requires 2 1/2 cups of flour.
To find the answer, we divide the total amount of flour by the amount needed for one dozen muffins:
Total dozen muffins = Total cups of flour / Cups of flour per dozen
Total dozen muffins = 15 1/2 cups ÷ 2 1/2 cups
Converting 15 1/2 and 2 1/2 to improper fractions, we have:
Total dozen muffins = 31/2 ÷ 5/2
Now, by multiplying by the reciprocal of the divisor:
Total dozen muffins = 31/2 × 2/5 = 62/10 which simplifies to 6 2/10 or 6 1/5
Therefore, Garnet can make 6 1/5 dozens of muffins, which means the answer is C. 6(1)/(5).