Question

Vanya is making a quilt and will use 4 different types of fabric for the front. She will purchase 3 5 8 yard2 of two of the fabrics, 1 3 4 yard2 of another one, and 2 1 8 yard2 of the last fabric. Vanya also needs about the same amount of fabric as she is purchasing for the front to cover the back of the quilt. About how many total square yards of fabric will Vanya use to make this quilt?

Answer 1

Vanya will need approximately 22 1/4 square yards of fabric to make her quilt, as she is purchasing a total of 11 1/8 square yards for the front and needs the same amount for the back.

Step-by-step explanation:

The problem tells us that Vanya is purchasing fabric in different yardages for her quilt. To find out the total square yards of fabric she will use, we first need to add up all of the individual amounts for the front of the quilt:

• 3 5/8 yards² + 3 5/8 yards² (two fabrics of the same size)
• 1 3/4 yards²
• 2 1/8 yards²

Adding these together, we get:

3 5/8 + 3 5/8 = 7 2/8 = 7 1/4 yards²

Adding 1 3/4 yards²:

7 1/4 + 1 3/4 = 9 yards²

Add the final 2 1/8 yards²:

9 + 2 1/8 = 11 1/8 yards²

Then, since she needs about the same amount for the back, we multiply this amount by 2:

11 1/8 yards² x 2 = 22 1/4 yards²

Vanya will need approximately 22 1/4 square yards of fabric to make her quilt, covering both the front and the back.