Question

Doris uses 8 square pieces of fabric to make one scarf. Each side of a square piece of fabric is ¼ yard in length. Doris can buy large pieces of fabric that are
# yard long and 2 yards wide. How many
large pieces of fabric should she buy to make 7 scarves? Show your work.

Answer 1

First, we need to calculate the total yardage required to make one scarf:
Each square piece of fabric has a side length of 1/4 yard, so the area of one square piece is (1/4) * (1/4) = 1/16 square yards.
Since Doris needs 8 square pieces to make one scarf, the total yardage required for one scarf is 8 * 1/16 = 1/2 yard.

To make 7 scarves, she would need a total of 7 * 1/2 = 3.5 yards of fabric.

Since the large pieces of fabric are # yard long and 2 yards wide, each large piece has an area of # * 2 = # square yards.

To find out how many large pieces of fabric Doris should buy, we need to divide the total yardage required by the area of one large piece:
# * 2 = 3.5
# = 3.5 / 2
# = 1.75

Therefore, Doris should buy 2 large pieces of fabric to make 7 scarves.

Answer 2

Each square piece of fabric has a side length of 1/4 yard, so the area of one square piece is (1/4) * (1/4) = 1/16 square yards.
Since Doris needs 8 square pieces to make one scarf, the total yardage required for one scarf is 8 * 1/16 = 1/2 yard.

To make 7 scarves, she would need a total of 7 * 1/2 = 3.5 yards of fabric.

Since the large pieces of fabric are # yard long and 2 yards wide, each large piece has an area of # * 2 = # square yards.

To find out how many large pieces of fabric Doris should buy, we need to divide the total yardage required by the area of one large piece:
# * 2 = 3.5
# = 3.5 / 2
# = 1.75

Therefore, Doris should buy 2 large pieces of fabric to make 7 scarves. is this correct?

Answer 3

I apologize for the mistake in my previous calculation. Let's correct it:

If each square piece of fabric has a side length of 1/4 yard, the area of one square piece is (1/4) * (1/4) = 1/16 square yards.
Doris needs 8 square pieces to make one scarf, so the total yardage required for one scarf is 8 * 1/16 = 1/2 yard.

To make 7 scarves, she would need a total of 7 * 1/2 = 3.5 yards of fabric.

Since the large pieces of fabric are # yard long and 2 yards wide, each large piece has an area of # yard * 2 yards = 2# square yards.

To find out how many large pieces of fabric Doris should buy, we need to divide the total yardage required by the area of one large piece:
2# = 3.5
# = 3.5 / 2
# = 1.75

Therefore, Doris should buy 2 large pieces of fabric to make 7 scarves. Thank you for catching that mistake.