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If
55% of a number is 209 and
95% of the same number is 361 , find
40% of that number.
Answer:

If $55 \%$ of a number is $209$ and $95 \%$ of the same number is $361$ , find $40 \%$ of that number. $\newline$ Answer:

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Find the total given a part and a percent

Full solution

Q. If

55 \%

of a number is

209

and

95 \%

of the same number is

361

, find

40 \%

of that number.

\newline

Answer:

Find Number Value: Find the value of the number based on $55\%$ being $209$ . To find the whole number, we can set up the equation $0.55 \times \text{number} = 209$ . We then divide both sides by $0.55$ to isolate the number. $\text{number} = \frac{209}{0.55}$
Calculate Number: Calculate the value of the number. $\newline$ number = $\frac{209}{0.55}$ $\newline$ number = $380$
Verify Calculation: Verify the calculation by checking if $95\%$ of the number is indeed $361$ . $0.95 \times \text{number}$ should equal $361$ . $0.95 \times 380 = 361$
Calculate $40$ %: Calculate $40\%$ of the number. $\newline$ Now that we have the number, we can find $40\%$ of it by multiplying the number by $0.40$ . $\newline$ $40\%$ of number = $0.40 \times 380$
Evaluate Expression: Evaluate the expression to find $40\%$ of the number. $\newline$ $40\%$ of number $= 0.40 \times 380$ $\newline$ $40\%$ of number $= 152$

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