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When a number is decreased by
4.9%, the result is 31 . What is the original number to the nearest tenth?
Answer:

When a number is decreased by $4.9 \%$ , the result is $31$ . 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

4.9 \%

, the result is

31

. What is the original number to the nearest tenth?

\newline

Answer:

Denote original number as $x$ : Let's denote the original number as $x$ . When $x$ is decreased by $4.9\%$ , it means that $95.1\%$ of $x$ is equal to $31$ . We can express this as an equation: $0.951 \times x = 31$ .
Find x by dividing: To find the original number $x$ , we need to divide both sides of the equation by $0.951$ . So, $x = \frac{31}{0.951}$ .
Perform division to find x: Now, let's perform the division to find the value of $x$ . $x = \frac{31}{0.951} \approx 32.6$ when rounded to the nearest tenth.

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