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If
60% of a number is 72 and
95% of the same number is 114 , find
35% of that number.
Answer:

If $60 \%$ of a number is $72$ and $95 \%$ of the same number is $114$ , find $35 \%$ of that number. $\newline$ Answer:

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Find the total given a part and a percent

Full solution

Q. If

60 \%

of a number is

72

and

95 \%

of the same number is

114

, find

35 \%

of that number.

\newline

Answer:

Find Number Value: First, we need to find the value of the number based on the information that $60\%$ of it is $72$ . To do this, we set up the equation $0.60 \times \text{number} = 72$ . Now we solve for the number by dividing both sides of the equation by $0.60$ . $\text{number} = \frac{72}{0.60}$
Calculate Number Value: Perform the calculation to find the value of the number. $\newline$ number = $72 / 0.60$ $\newline$ number = $120$
Check Second Information: Now that we have the value of the number, we can check the second piece of information given to ensure there are no mistakes. $\newline$ We know that $95\%$ of the number is supposed to be $114$ , so we check this by calculating $0.95 \times \text{number}$ . $\newline$ $0.95 \times 120 = 114$
Find $35$ % of Number: Since the second piece of information checks out, we can now find $35\%$ of the number. $\newline$ To do this, we calculate $0.35 \times \text{number}$ . $\newline$ $0.35 \times 120 = 42$

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