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a book sold $41,100$ copies in its first month of release. suppose this represents $6.8\%$ of the number of copies sold to date. how many copies have been sold to date? round your answer to the nearest whole number

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Exponential growth and decay: word problems

Full solution

Q. a book sold

41,100

copies in its first month of release. suppose this represents

6.8\%

of the number of copies sold to date. how many copies have been sold to date? round your answer to the nearest whole number

Calculate total copies sold: Calculate the total number of copies sold using the percentage given. $\newline$ $41,100$ is $6.8\%$ of the total, so divide $41,100$ by $6.8$ to find $1\%$ of the total. $\newline$ $\frac{41,100}{6.8} = 6,044.1176470588235$
Find $1$ % of total: Now, to find $100\%$ (the total), multiply the value of $1\%$ by $100$ . $\newline$ $6,044.1176470588235 \times 100 = 604,411.7647058824$
Find $100\%$ total: Round the answer to the nearest whole number. $604,411.7647058824$ rounds to $604,412$ .

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