A book sold 37,200 copies in its first month of release. Suppose this represents 8.3% of the number of the copies sold to date. How many copies have been sold to date?

Question

A book sold 37,200 copies in its first month of release. Suppose this represents 8.3% of the number of the copies sold to date. How many copies have been sold to date?

Round your answer to the nearest whole number

Answer 1

Let's let x be the number of copies sold to date.

We know that 37,200 is 8.3% of x, so (8.3/100)*x = 37,200.
Multiplying both sides by 100/8.3, we get x = (37,200 * 100) / 8.3.
This simplifies to x = 448,192.771.
Rounding this to the nearest whole number gives us x = 448,193.
Therefore, approximately 448,193 copies have been sold to date.