91.8k views
4 votes
Moses makes a school spirit flag. He has 1/3 as many yards of red fabric as blue

fabric. He buys 2 2/3 yards more red fabric. Now he has equal amounts of red and
blue fabric. Use x to represent the amount of blue fabric. Which equations could
you use to find the amount of red fabric Moses has? Select all that apply.

User Grmpfhmbl
by
5.7k points

2 Answers

5 votes

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

User Prasanjit Dey
by
6.1k points
2 votes

Answer:

1/3+2 2/3=3/2=1 1/2 yards or x=3/2

User Euler Taveira
by
5.2k points