Question

Practice

Write a two-step equation to represent each problem.
(Examples 1 and 2)
1. Ayana is making 6 scarves that each require
1 yards of purple fabric and a certain
amount of blue fabric. She will use 10 yards
in all. Determine how many yards of blue
fabric are needed for each scarf.
(6x + by)

Answer 1

To determine how many yards of blue fabric are needed for each scarf, we can write the two-step equation 6x = 10 and solve for x. Each scarf requires approximately 1.67 yards of blue fabric.

Step-by-step explanation:

To represent the problem, we can write a two-step equation. Let x represent the number of yards of blue fabric needed for each scarf. Since Ayana is making 6 scarves, she will need 6 times the number of yards of blue fabric, which can be represented as 6x. The total amount of blue fabric used for the 6 scarves is equal to 10 yards, so we can write the equation as:

6x = 10

To determine how many yards of blue fabric are needed for each scarf, we can solve this equation for x by dividing both sides by 6:

x = 10/6

Therefore, each scarf requires approximately 1.67 yards of blue fabric.

Learn more about Two-step equations