Writer A writes of the number of pages writer B writes per day. Both of them together write more than 200 pages per day.
What can be said about the number of pages that writer A writes per day?
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Writer A writes of the number of pages writer B writes per day. Both of them together write more than 200 pages per day.
What can be said about the number of pages that writer A writes per day?
To solve the problem, we need to analyze the inequality involving the pages written by Writers A and B:
First, let represent the number of pages Writer B writes per day. Then, the number of pages Writer A writes is given by the expression .
The problem states that together they write more than 200 pages per day. Therefore, we can set up the inequality:
We need to simplify and solve this inequality:
Substituting this back into the inequality:
To solve for , multiply both sides of the inequality by to isolate :
Perform the multiplication:
This implies that the number of pages written by Writer B should be greater than 125.
Substitute back to find the pages written by Writer A:
Therefore, Writer A writes more than 75 pages per day.
The correct answer is:
More than -75
More than 75
Solve the following inequality:
\( 3x+4 \leq 10 \)
Because you can't add fractions with different denominators! Think of x as , so .
Treat them like equations, but keep the inequality sign! Multiply both sides by the reciprocal: becomes .
Because we have an inequality (>) not an equation (=)! Since Writer B writes more than 125 pages, Writer A writes more than 75 pages.
The problem states Writer A writes of Writer B's pages. Since , Writer A always writes fewer pages than Writer B.
Yes! Try Writer B = 130 pages. Then Writer A = pages. Total: 130 + 78 = 208 > 200 ✓
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