Question

Ayden is thinking of a certain number. If 3/5 of the number is 24, what is 5/8 of the number?
A) 25
B) 40
C) 28
D) 32

Answer 1

Let's denote the unknown number as \( x \). According to the information given:

\[
\frac{3}{5} x = 24
\]

To find \( x \), we can multiply both sides by \( \frac{5}{3} \):

\[
x = 24 \times \frac{5}{3}
\]

Calculating the right side:

\[
x = 24 \times \frac{5}{3} = 24 \times \frac{5}{3} = \frac{120}{3} = 40
\]

Now that we've found \( x = 40 \), we want to calculate \( \frac{5}{8} \) of the number:

\[
\frac{5}{8} x = \frac{5}{8} \times 40
\]

Calculating this:

\[
\frac{5 \times 40}{8} = \frac{200}{8} = 25
\]

Thus, \( \frac{5}{8} \) of the number is \( 25 \).

The answer is \( A) 25 \).