Question

Mrs. Byers is making 5 costumes that each require 1 yards of blue

fabric and a certain amount of red fabric. She will use 8 yards in all.
Write and solve an equation to determine the number of yards of red
fabric r she will need for each costume.

Answer 1

We can start by using the following equation to determine the number of yards of red fabric r she will need for each costume:

1 + r = y (y represents the total number of yards of fabric for each costume)

We know that the total number of yards for all the costumes is 8 and there are 5 costumes, so we can use this information to set up another equation:

5y = 8 (y represents the total number of yards of fabric for each costume)

Now we can substitute the first equation into the second equation to get:

5(1 + r) = 8

Expanding the left side of the equation:

5 + 5r = 8

Subtracting 5 from both sides:

5r = 3

Dividing both sides by 5:

r = 3/5

So, Mrs. Byers will need 3/5 yards of red fabric for each costume.