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When a number is decreased by 
8.5%, the result is 47 . What is the original number to the nearest tenth?
Answer:

When a number is decreased by 8.5% 8.5 \% , the result is 4747 . What is the original number to the nearest tenth?\newlineAnswer:

Full solution

Q. When a number is decreased by 8.5% 8.5 \% , the result is 4747 . What is the original number to the nearest tenth?\newlineAnswer:
  1. Understand the problem: Understand the problem.\newlineWe need to find the original number before it was decreased by 8.5%8.5\%. The result after the decrease is 4747. To find the original number, we will need to divide the result by the percentage that represents the remaining amount after the decrease.
  2. Express as decimal: Express the remaining percentage as a decimal.\newlineAfter a decrease of 8.5%8.5\%, the remaining amount is 100%8.5%=91.5%100\% - 8.5\% = 91.5\%. To use this in calculations, we convert it to a decimal by dividing by 100100.\newline91.5%÷100=0.91591.5\% \div 100 = 0.915
  3. Set up equation: Set up the equation to find the original number.\newlineLet the original number be represented by xx. We know that 91.5%91.5\% of xx is equal to 4747.\newlineSo, 0.915×x=470.915 \times x = 47
  4. Solve for x: Solve for x to find the original number.\newlineTo find xx, we divide both sides of the equation by 0.9150.915.\newlinex=470.915x = \frac{47}{0.915}
  5. Perform division: Perform the division to find the original number. x=470.91551.3661x = \frac{47}{0.915} \approx 51.3661
  6. Round to nearest tenth: Round the result to the nearest tenth.\newlineThe original number rounded to the nearest tenth is approximately 51.451.4.

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