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If
10% of a number is 32 and
35% of the same number is 112 , find
45% of that number.
Answer:

If $10 \%$ of a number is $32$ and $35 \%$ of the same number is $112$ , find $45 \%$ of that number. $\newline$ Answer:

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Find the total given a part and a percent

Full solution

Q. If

10 \%

of a number is

32

and

35 \%

of the same number is

112

, find

45 \%

of that number.

\newline

Answer:

Find Number Value: First, we need to find the value of the number based on the information that $10\%$ of it is $32$ . To do this, we set up the equation $0.10 \times \text{number} = 32$ . Now we solve for the number by dividing both sides of the equation by $0.10$ . $\text{number} = \frac{32}{0.10}$
Solve for Number: Perform the division to find the value of the number. $number = 320$
Find $45$ % of Number: Now that we have the value of the number, we can find $45$ % of it. $\newline$ To do this, we multiply the number by $0.45$ . $\newline$ $45\%$ of number = $0.45 \times 320$
Calculate $45$ %: Perform the multiplication to find $45$ % of the number. $\newline$ $45\%$ of number = $144$

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