A book sold 42,500 copies in its first month of release. Suppose this represents 8.4 of the number of copies sold to date. How many copies have been sold to date?
Round your answer to the nearest whole number.

We are given that 42,500 copies represent 8.4% of the total number of copies sold to date. To find the total number of copies, we can use the following steps:

Let \( x \) represent the total number of copies sold to date.

Since 42,500 is 8.4% of the total sales, we can set up the equation:

\[
42,500 = 0.084 \times x
\]

Now, solve for \( x \):

\[
x = \frac{42,500}{0.084}
\]

Calculating:

\[
x \approx 505,952
\]

Therefore, the total number of copies sold to date is approximately **505,952**.

Would you like further details on any part of this calculation? Here are 5 related questions to consider:

1. How can percentages be used to calculate parts of a whole in other contexts?
2. What are other common applications of percentage in daily life?
3. How can we reverse percentage calculations to find a total, as we did here?
4. Why is it important to round percentages and totals in such calculations?
5. How would the answer change if the percentage were slightly higher, say 9%?

**Tip**: When working with percentages, always remember to convert them to decimal form by dividing by 100 before performing calculations!

A book sold 42,500 copies in its first month of release. Suppose this represents 8.4 of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.

Find out how to calculate the total number of copies sold when given that 42,500 copies represent 8.4% of total sales. This step-by-step solution explains the percentage formula and basic algebra involved in solving the problem. Suitable for students in Grades 6-8.

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