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When a number is decreased by
6%, the result is 55 . What is the original number to the nearest tenth?
Answer:

When a number is decreased by $6 \%$ , the result is $55$ . What is the original number to the nearest tenth? $\newline$ Answer:

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Find the total given a part and a percent

Full solution

Q. When a number is decreased by

6 \%

, the result is

55

. What is the original number to the nearest tenth?

\newline

Answer:

Understand the problem: Understand the problem and set up the equation. $\newline$ We are given that when a number is decreased by $6\%$ , the result is $55$ . We need to find the original number. Let's denote the original number as $x$ . The equation to represent this situation is: $\newline$ $x - 0.06x = 55$
Simplify the equation: Simplify the equation. $\newline$ Combine like terms on the left side of the equation: $\newline$ $x(1 - 0.06) = 55$ $\newline$ $x(0.94) = 55$
Solve for x: Solve for x. $\newline$ To find the original number $x$ , divide both sides of the equation by $0.94$ : $\newline$ $x = \frac{55}{0.94}$
Perform the division: Perform the division to find $x$ . $\newline$ $x \approx 58.51063829787234$
Round the result: Round the result to the nearest tenth. $\newline$ The original number rounded to the nearest tenth is approximately $58.5$ .

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