Question

Amari had 2 2/3 yards each of pink ribbon and blue ribbon. She cut the pink ribbon into 1/6 yard pieces. She cut the blue ribbon into 1/9 yard pieces. How many pieces did Amari cut in total? A) 40 pieces B) 54 pieces C) 60 pieces D) 72 pieces

Answer 1

To determine the total number of pieces Amari cut, divide the length of each type of ribbon by the individual piece size, then add the two results. She cut 16 pieces of pink ribbon and 24 pieces of blue ribbon, totaling 40 pieces.

Step-by-step explanation:

Amari had 2 2/3 yards each of pink ribbon and blue ribbon. To find out how many pieces she can cut from the pink ribbon, you would divide the total length of the ribbon, 2 2/3 yards, by the length of each piece, 1/6 yard. To calculate this, first convert 2 2/3 to an improper fraction, which is 8/3. Then, divide 8/3 by 1/6 by multiplying 8/3 by the reciprocal of 1/6, which is 6/1. This gives you 8/3 * 6/1 = 48/3 = 16 pieces of pink ribbon.

Similarly, for the blue ribbon, you divide 2 2/3 yards by 1/9 yard. Again, convert 2 2/3 to an improper fraction, 8/3, and multiply by the reciprocal of 1/9, which is 9/1. This calculation gives you 8/3 * 9/1 = 72/3 = 24 pieces of blue ribbon.

In total, Amari cut 16 pieces of pink ribbon and 24 pieces of blue ribbon, so she cut 40 pieces in total. Thus, the correct answer is A) 40 pieces.

Answer 2

Amari cut a total of 40 pieces from the pink and blue ribbons, Therefore option A is correct.

Step-by-step explanation:

To find the total number of pieces, we need to calculate the number of pieces for each ribbon and then add them together.

Amari had 2 2/3 yards of pink ribbon, which is equivalent to 8/3 yards. She cut it into 1/6 yard pieces, so the number of pieces she cut from the pink ribbon is (8/3) / (1/6) = 16.

Amari had 2 2/3 yards of blue ribbon as well. She cut it into 1/9 yard pieces, so the number of pieces she cut from the blue ribbon is (8/3) / (1/9) = 24.

In total, Amari cut 16 + 24 = 40 pieces.