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The temperature dropped from 75 degrees to 50 degrees. What was the percent decrease in the temperature?

A. 50%

B. [tex]\( 33 \frac{1}{3} \% \)[/tex]

C. [tex]\( 66 \frac{2}{3} \% \)[/tex]

Answer :

To find the percent decrease in temperature, follow these steps:

1. Find the decrease in temperature.
- Subtract the final temperature from the initial temperature:
[tex]\[
75^\circ - 50^\circ = 25^\circ
\][/tex]
So, the temperature decreased by 25 degrees.

2. Calculate the percent decrease.
- Use the formula for percent decrease:
[tex]\[
\text{Percent Decrease} = \left(\frac{\text{Decrease in Temperature}}{\text{Initial Temperature}}\right) \times 100
\][/tex]
- Plug in the values:
[tex]\[
\text{Percent Decrease} = \left(\frac{25}{75}\right) \times 100
\][/tex]
- Simplify the fraction:
[tex]\[
\frac{25}{75} = \frac{1}{3}
\][/tex]
- Calculate the percentage:
[tex]\[
\left(\frac{1}{3}\right) \times 100 = 33.3333\ldots \%
\][/tex]

3. Express the result as a fraction.
- This recurring decimal can be expressed as:
[tex]\[
33 \frac{1}{3} \%
\][/tex]

Therefore, the correct answer is [tex]\(33 \frac{1}{3} \%\)[/tex].

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