Frank Crawford
10/09/2023 · High School
If \( 28 \% \) of a sum is \( \$ 100.80 \), what is the sum? A. \( \$ 129.02 \) B. \( \$ 282.24 \) C. \( \$ 360.00 \) D. \( \$ 277.78 \)
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Tutor-Verified Answer
Step-by-step Solution
Let the sum be denoted as \( x \). According to the problem, \( 28\% \) of \( x \) is equal to \( \$ 100.80 \). We can express this mathematically as:
\[
0.28x = 100.80
\]
To find \( x \), we can solve for it by dividing both sides of the equation by \( 0.28 \):
\[
x = \frac{100.80}{0.28}
\]
Now, we perform the division:
\[
x = \frac{100.80}{0.28} = 360.00
\]
Thus, the sum is:
\[
\boxed{360.00}
\]
This corresponds to option C.
Quick Answer
The sum is \( \$ 360.00 \). Therefore, the correct answer is C. \( \$ 360.00 \).
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