Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A book sold 35,60035,600 copies in its first month of release. Suppose this represents 6.1%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.

Full solution

Q. A book sold 35,60035,600 copies in its first month of release. Suppose this represents 6.1%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.
  1. Understand the Problem: Understand the problem and what is being asked.\newlineWe need to find the total number of copies sold to date if 35,60035,600 copies represent 6.1%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.
  2. Set Up Equation: Set up the equation to solve for the total number of copies.\newlineLet the total number of copies be xx. According to the problem, 6.1%6.1\% of xx is equal to 35,60035,600. We can write this as:\newline0.061×x=35,6000.061 \times x = 35,600
  3. Solve for x: Solve for x.\newlineTo find xx, we divide both sides of the equation by 0.0610.061:\newlinex=35,6000.061x = \frac{35,600}{0.061}
  4. Perform Division: Perform the division to find the total number of copies. \newlinex=35,6000.061x = \frac{35,600}{0.061}\newlinex583,606.5573770492x \approx 583,606.5573770492
  5. Round the Answer: Round the answer to the nearest whole number.\newlineSince we are asked to round the answer to the nearest whole number, we round 583,606.5573770492583,606.5573770492 to 583,607583,607.

More problems from Multi-step word problems