Final answer:
To solve for Moses' amount of blue fabric, you can use the equation (1/3)x + 2 2/3 = x, where x represents the amount of blue fabric, and solve for x.
Step-by-step explanation:
To find out how much red fabric Moses originally had, we let x represent the amount of blue fabric. Since Moses has 1/3 as many yards of red fabric as blue fabric, we can express the amount of red fabric as (1/3)x. After buying 2 2/3 yards more red fabric, the amount of red fabric becomes (1/3)x + 2 2/3. When he has equal amounts of red and blue fabric, the equation can be represented as:
(1/3)x + 2 2/3 = x
To solve for x, you would subtract (1/3)x from both sides to isolate x on one side of the equation:
2 2/3 = (2/3)x
Now you have a simple equation to solve for x, representing the amount of blue fabric