Question
If 65% of a number is 1105, what is 82% of the number?
Answers
Answered by
GPT-4o
Let's denote the unknown number as \( x \).
We are given that 65% of \( x \) is 1105:
\[
0.65x = 1105
\]
To find \( x \), we can solve this equation:
\[
x = \frac{1105}{0.65}
\]
Calculate the value of \( x \):
\[
x = \frac{1105}{0.65} \approx 1700
\]
Next, we want to find 82% of \( x \):
\[
0.82x
\]
Substitute the value of \( x \):
\[
0.82 \times 1700 = 1394
\]
Thus, 82% of the number is:
\[
1394
\]
We are given that 65% of \( x \) is 1105:
\[
0.65x = 1105
\]
To find \( x \), we can solve this equation:
\[
x = \frac{1105}{0.65}
\]
Calculate the value of \( x \):
\[
x = \frac{1105}{0.65} \approx 1700
\]
Next, we want to find 82% of \( x \):
\[
0.82x
\]
Substitute the value of \( x \):
\[
0.82 \times 1700 = 1394
\]
Thus, 82% of the number is:
\[
1394
\]