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a book sold 32,600 copies in its first month of release. suppose this r…

Question

a book sold 32,600 copies in its first month of release. suppose this represents 7.1% 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

Explanation:

Step1: Define the variable

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

Step2: Set up the equation

We know that \( 7.1\% \) of \( x \) is equal to 32,600. Mathematically, this can be written as \( 0.071x = 32600 \) (since \( 7.1\% = \frac{7.1}{100}=0.071 \)).

Step3: Solve for \( x \)

To find \( x \), we divide both sides of the equation by 0.071: \( x=\frac{32600}{0.071} \).
Calculating this, \( x\approx459154.9296\).

Step4: Round to the nearest whole number

Rounding \( 459154.9296 \) to the nearest whole number gives 459155.

Answer:

459155