Question

A book sold for 41,200 copies in its first month of release. Suppose this represents 8.8% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.

Answer 1

The statement tells us several important things

1. ,2n the first month 41000 copies were sold.

2. the 41,200 copies correspond to 8.8% until today

We are asked to find how many copies have been found so far, i.e. 100% of the books sold.

To do this, we first find the value of 1% i.e. we divide the copies sold in the first month by 8.8.

After this, we multiply by 100 to find 100 % so we can pose the following equation where S100 is the total number of copies sold.

$\begin{gathered} S_{100}=41200\cdot\frac{100}{8.8} \\ S_{100}=468,181.8182 \\ S_{100}\cong468,182 \end{gathered}$

In conclusion, as of today, approximately 468,181 have been sold.