Question

Nathaniel works as a baker and makes several batches of muffins every morning. Each batch requires 4 4/5 cups of sugar. For a large meeting, Nathaniel needs 5 1/5 times more muffins than what a regular batch makes. How much sugar will he use? If each batch fills 3 boxes, how many boxes will be needed to pack the muffins for the meeting? a) 25 cups

b) 24 cups
c) 23 cups
d) 22 cups

Answer 1

Nathaniel will use approximately 25 cups of sugar for the large meeting, and will need at least 16 boxes to pack the muffins.

Step-by-step explanation:

To answer the question, we first calculate the amount of sugar needed for the large meeting. Nathaniel normally uses 4 4/5 cups of sugar for one batch. Since he requires 5 1/5 times more muffins than a usual batch for the meeting, we multiply the two amounts to find the total sugar needed:

• Convert mixed numbers to improper fractions: 4 4/5 = 24/5 and 5 1/5 = 26/5.
• Multiply the fractions: (24/5) * (26/5) = 624/25.
• Divide 624 by 25 to convert back to a mixed number: 624/25 = 24 24/25 cups, which is approximately 25 cups (since we can’t have a fraction of a cup when measuring ingredients).

Next, we calculate the number of boxes needed:

• Since each regular batch fills 3 boxes and Nathaniel is making 5 1/5 times a regular batch, we multiply 3 boxes by 5 1/5.
• Convert 5 1/5 to an improper fraction: 5 1/5 = 26/5.
• Multiply the boxes by this fraction: 3 * (26/5) = 3 * 26/5 = 78/5.
• Convert 78/5 to a whole number: 78/5 = 15, with a remainder of 3/5, which means we need at least 16 boxes.

Therefore, the answers are (a) 25 cups of sugar and 16 boxes for packing the muffins.