A book sold 35,600 copies in its first month of release. Suppose this represents 6.1% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.
Q. A book sold 35,600 copies in its first month of release. Suppose this represents 6.1% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.
Understand the Problem: Understand the problem and what is being asked.We need to find the total number of copies sold to date if 35,600 copies represent 6.1% of the total. This is a simple percentage problem where we are given the part and the percentage, and we need to find the whole.
Set Up Equation: Set up the equation to solve for the total number of copies.Let the total number of copies be x. According to the problem, 6.1% of x is equal to 35,600. We can write this as:0.061×x=35,600
Solve for x: Solve for x.To find x, we divide both sides of the equation by 0.061:x=0.06135,600
Perform Division: Perform the division to find the total number of copies. x=0.06135,600x≈583,606.5573770492
Round the Answer: Round the answer to the nearest whole number.Since we are asked to round the answer to the nearest whole number, we round 583,606.5573770492 to 583,607.