Q. When a number is decreased by 8.5%, the result is 47 . What is the original number to the nearest tenth?Answer:
Understand the problem: Understand the problem.We need to find the original number before it was decreased by 8.5%. The result after the decrease is 47. To find the original number, we will need to divide the result by the percentage that represents the remaining amount after the decrease.
Express as decimal: Express the remaining percentage as a decimal.After a decrease of 8.5%, the remaining amount is 100%−8.5%=91.5%. To use this in calculations, we convert it to a decimal by dividing by 100.91.5%÷100=0.915
Set up equation: Set up the equation to find the original number.Let the original number be represented by x. We know that 91.5% of x is equal to 47.So, 0.915×x=47
Solve for x: Solve for x to find the original number.To find x, we divide both sides of the equation by 0.915.x=0.91547
Perform division: Perform the division to find the original number. x=0.91547≈51.3661
Round to nearest tenth: Round the result to the nearest tenth.The original number rounded to the nearest tenth is approximately 51.4.
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