165,971 views
1 vote
1 vote
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.

User Jarvis
by
2.9k points

2 Answers

13 votes
13 votes

Final answer:

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

User Jonte
by
2.4k points
26 votes
26 votes

The blue yard is 8 Each below

User Menya
by
3.4k points