To find the number of correct answers scored when 75 points are achieved, you can use the relationship between points and correct answers.
Since each correct answer scores 5 points, you can set up the following equation:
\[ \text{Points} = \text{Correct Answers} \times 5 \]
Let \( x \) be the number of correct answers. Then:
\[ 75 = x \times 5 \]
To solve for \( x \), divide both sides of the equation by 5:
\[ x = \frac{75}{5} = 15 \]
Therefore, the number of correct answers is \( \boxed{15} \).