A book sold 31,500 copies in its first month of release. Suppose this represents 8.9% of the number of copies sold to date. How many copies have been sold to date?

Round your answer to the nearest whole number.

copies

Let the total number of copies sold to date be represented by \( x \).

We are told that 31,500 copies represent 8.9% of the total copies sold, so we can set up the equation:

\[
31,500 = 0.089 \times x
\]

Now, solve for \( x \) by dividing both sides of the equation by 0.089:

\[
x = \frac{31,500}{0.089}
\]

Let's calculate that.

\[
x = 353,932.58
\]

Rounding to the nearest whole number:

\[
x \approx 353,933
\]

Therefore, approximately **353,933 copies** have been sold to date.

Would you like further details on the steps? Here are some related questions for practice:

1. If 31,500 copies represent 7.5% of total sales, how many copies were sold?
2. How many copies were sold if 31,500 is 12% of the total?
3. If 31,500 copies represent 10% of total sales, how many additional copies are needed to reach 50,000?
4. How much is 15% of 353,933 copies?
5. If 8.9% of total sales equals 25,000 copies, what are the total sales?

**Tip:** When solving percentage problems, remember that the formula \( \text{Part} = \text{Percentage} \times \text{Whole} \) is useful to relate the part to the whole amount.

A book sold 31,500 copies in its first month of release. Suppose this represents 8.9% of the number of copies sold to date. How many copies have been sold to date?

Learn how to calculate the total number of books sold using a percentage-based formula. In this example, 31,500 copies represent 8.9% of the total sales. This step-by-step guide will walk you through solving percentage problems, including key concepts in algebra and proportions. Suitable for Grades 7-9 students.

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