Question

Ayana is making 6 scarves that each require

1 1/4 yards of purple fabric and a
amount of blue fabric. She will use 10 yards
in all. Determine how many yards of blue two step equation
fabric are needed for each scarf.

Answer 1

Ayana needs a total of 5/12 yards of blue fabric for each scarf when making 6 scarves from a total of 10 yards of fabric, which includes both blue and purple fabric.

Step-by-step explanation:

Ayana is making 6 scarves that each require 1 1/4 yards of purple fabric and she will use a total of 10 yards of fabric in all. To determine how many yards of blue fabric are needed for each scarf, we need to solve a two-step equation.

First, we calculate the total amount of purple fabric used for all the scarves by multiplying the amount needed for one scarf by the number of scarves:

• 1 1/4 yards per scarf × 6 scarves = 7 1/2 yards of purple fabric

Next, we subtract the total amount of purple fabric from the total amount of fabric to find the amount of blue fabric used:

• 10 yards total - 7 1/2 yards of purple fabric = 2 1/2 yards of blue fabric in total

To find the amount of blue fabric per scarf, we divide the total amount of blue fabric by the number of scarves:

• 2 1/2 yards of blue fabric ÷ 6 scarves = 5/12 yards of blue fabric per scarf

Answer 2

The blue yard is 8 Each below