Question

1. a wrestler scored 15 fewer points than twice the number of matches they compete in. if they scored 35 points, how many matches did they complete in?

Explanation:

Step1: Define the variable

Let $x$ be the number of matches the wrestler competed in.

Step2: Set up the equation

Twice the number of matches is $2x$, and 15 fewer points than that is $2x - 15$. We know the score is 35, so the equation is $2x - 15 = 35$.

Step3: Solve for $x$

Add 15 to both sides: $2x - 15 + 15 = 35 + 15$ simplifies to $2x = 50$.
Divide both sides by 2: $\frac{2x}{2} = \frac{50}{2}$ gives $x = 25$.

Answer:

25