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To solve this problem, let \( x \) represent the total number of copies sold to date.

According to the problem, 31,800 copies represents 6.7% of the total sales. So, we can set up the equation as follows:

\[
0.067 \times x = 31800
\]

Now, to find \( x \), divide both sides by 0.067:

\[
x = \frac{31800}{0.067}
\]

Calculating this gives:

\[
x \approx 474,626.87
\]

Rounding to the nearest whole number:

\[
x \approx 474,627
\]

### Answer:
The total number of copies sold to date is approximately **474,627**.

Would you like a breakdown of the calculation steps or further explanation?

Here are five related questions you might find interesting:
1. If the book continued to sell at the same monthly rate, how many copies would it sell by the end of the year?
2. What would the total sales be if the book sold 10% of total sales in the first month?
3. How would the total change if 31,800 copies represented 5% instead of 6.7%?
4. How many copies would need to be sold in the second month to reach a total of 500,000 copies?
5. What percentage of the total would 31,800 represent if 500,000 copies had been sold?

**Tip:** When working with percentages, remember to convert them to decimal form (e.g., 6.7% becomes 0.067) before using them in calculations.

A book sold 31,800 copies in its first month of release. Suppose this represents 6.7% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.

Learn how to calculate the total number of book copies sold when given that 31,800 copies represent 6.7% of total sales. This problem covers algebraic concepts, including percentage calculations, ideal for students in Grades 7-9.

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