Question

b. 40 is 160% of what number?
what number is 40% of 160?

Explanation:

First Question (40 is 160% of what number?):

Step1: Define the variable

Let the number be \( x \). We know that \( 160\% \) of \( x \) is 40. Mathematically, this can be written as \( 1.6x = 40 \) (since \( 160\% = 1.6 \)).

Step2: Solve for \( x \)

To find \( x \), we divide both sides of the equation by 1.6: \( x=\frac{40}{1.6} \)
Calculating the right - hand side, \( \frac{40}{1.6}=25 \)

Step1: Convert the percentage to a decimal

We know that \( 40\% = 0.4 \) (because to convert a percentage to a decimal, we divide by 100, so \( 40\div100 = 0.4 \)).

Step2: Multiply the decimal by 160

To find 40% of 160, we calculate \( 0.4\times160 \)
\( 0.4\times160 = 64 \)

Answer:

25

Second Question (What number is 40% of 160?):