Sergio cut 5 yards less than Trey. Together, they cut a total 31 yards.

Let the amount of grass Trey cut be \( x \) yards. According to the problem, Sergio cut 5 yards less than Trey, so Sergio cut \( x - 5 \) yards.

The total amount of grass they cut together is 31 yards. This gives us the equation:

\[
x + (x - 5) = 31
\]

### Solve for \( x \):
1. Combine like terms:
\[
2x - 5 = 31
\]

2. Add 5 to both sides:
\[
2x = 36
\]

3. Divide both sides by 2:
\[
x = 18
\]

So, Trey cut 18 yards of grass. 

Since Sergio cut 5 yards less than Trey:
\[
18 - 5 = 13
\]

Therefore, Sergio cut 13 yards of grass.

### Final Answer:
- Trey cut 18 yards.
- Sergio cut 13 yards.

Would you like more details or have any questions?

Here are some related questions:
1. What if Sergio had cut 7 yards less than Trey?
2. What if together they had cut 40 yards instead of 31?
3. How much more grass would Trey have cut if Sergio had only cut 10 yards?
4. How can we modify the equation if both cut the same amount?
5. What if Trey cut twice the amount of Sergio?

**Tip:** When solving word problems, translating the words into algebraic expressions is key to finding the solution.

Learn how to solve a linear equation where Sergio cuts 5 yards less than Trey, and together they cut 31 yards. This problem covers key algebraic concepts for students in Grades 6-8, including how to set up and solve linear equations step by step.

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