Question

Dan was wrapping birthday presents for his triplet cousins. If each cousin received the same present, and it took 2 3/4 yards of wrapping paper for each present, how much wrapping paper did Dan use to wrap all three presents?

A) 7/4 yards
B) 5/2 yards
C) 3 yards
D) 8 1/4 yards

Answer 1

Dan used 8 1/4 yards of wrapping paper to wrap all three presents, after calculating the total by converting the mixed number to an improper fraction and multiplying by the number of presents.

Step-by-step explanation:

The question involves Dan wrapping presents for his triplet cousins and requires us to calculate the total amount of wrapping paper he used. He uses 2 3/4 yards for each present and needs to wrap three presents. Here is how you calculate it step by step:

1. First, convert the mixed number 2 3/4 yards to an improper fraction. There are 4 quarters in a whole, so 2 whole yards is 2x4 quarters, which is 8 quarters. Adding the 3 quarters gives us 11 quarters. So we have 11/4 yards for one present.
2. Then, multiply the amount of paper for one present by the number of presents to get the total amount. As there are three presents, we calculate 11/4 yards x 3.
3. Multiplying the numerator (11) by 3 gives 33, and the denominator stays the same (4), so we have 33/4 yards in total, which can be converted back to a mixed number. Divide 33 by 4, which gives us 8 with a remainder of 1. Therefore, we have 8 and 1/4 yards, which is 8 1/4 yards total.

Therefore, the correct answer is D) 8 1/4 yards.