Writer A vs Writer B: Fractional Page Output Analysis

To solve the problem, we need to analyze the inequality involving the pages written by Writers A and B:

First, let $x$ represent the number of pages Writer B writes per day. Then, the number of pages Writer A writes is given by the expression $\frac{3}{5}x$.

The problem states that together they write more than 200 pages per day. Therefore, we can set up the inequality:

$\frac{3}{5}x + x > 200.$

We need to simplify and solve this inequality:

• Combine the terms on the left-hand side:

$\frac{3}{5}x + \frac{5}{5}x = \frac{8}{5}x.$

Substituting this back into the inequality:

$\frac{8}{5}x > 200.$

To solve for $x$, multiply both sides of the inequality by $\frac{5}{8}$ to isolate $x$:

$x > \frac{200 \times 5}{8}.$

Perform the multiplication:

$x > \frac{1000}{8} = 125.$

This implies that the number of pages $x$ written by Writer B should be greater than 125.

Substitute $x > 125$ back to find the pages written by Writer A:

$\text{Pages by A} = \frac{3}{5}x \quad \Rightarrow \quad \text{Pages by A} > \frac{3}{5} \cdot 125 = 75.$

Therefore, Writer A writes more than 75 pages per day.

The correct answer is:

More than -75