Let's denote the number of brochures ordered as \( x \).
For Company A, the cost can be expressed as:
\[ \text{Cost of Company A} = 25 + 0.20x \]
For Company B, the cost can be expressed as:
\[ \text{Cost of Company B} = 0.0x \]
We want to find out when the cost of Company A will be greater than the cost of Company B:
\[ 25 + 0.20x > 0.0x \]
Since \( 0.0x = 0 \), we can simplify the inequality:
\[ 25 + 0.20x > 0 \]
Now, subtract \( 0.20x \) from both sides:
\[ 25 > -0.20x \]
Now, divide both sides by -0.20. Remember to flip the inequality sign when dividing by a negative number:
\[ \frac{25}{-0.20} < x \]
Calculating \( \frac{25}{-0.20} \):
\[ 25 \div -0.20 = -125 \]
So, we have:
\[ x < -125 \]
Since we are looking for \( x \) in the context of brochures, we actually misunderstood the sign. Therefore, we should restate our situation because \( x \) must be positive, meaning:
\[ 0.20x > 25 \]
Divide both sides by 0.2:
\[ x > \frac{25}{0.20} \]
Calculating that gives:
\[ x > 125 \]
Thus, for Company A to cost more than Company B, you would need to order more than 125 brochures.