Let's solve this problem step-by-step.
1. Understand the Problem:
The question asks us to find the original number, given that 15 is 20% of that number.
2. Set Up the Equation:
We express the relationship in a mathematical equation:
[tex]\[
0.20 \times x = 15
\][/tex]
where [tex]\( x \)[/tex] is the original number we are trying to find.
3. Isolate [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], we divide both sides of the equation by 0.20:
[tex]\[
x = \frac{15}{0.20}
\][/tex]
4. Perform the Division:
Next, we calculate the division on the right-hand side of the equation:
[tex]\[
x = \frac{15}{0.20}
\][/tex]
[tex]\[
x = 75
\][/tex]
5. Conclusion:
Therefore, [tex]\( 15 \)[/tex] is [tex]\( 20 \% \)[/tex] of [tex]\( 75 \)[/tex].
6. Verify with The Answer Choices:
The correct answer amongst the options is:
[tex]\[
C) 75
\][/tex]
