Question
Taub missed 14 questions on her multiple choice math final that had a total of 200 problems. What percentage of questions did Taub answer correctly?
Answers
GPT-4o mini
To find the percentage of questions Taub answered correctly, we can follow these steps:
1. Calculate the number of questions answered correctly.
2. Use the number of correctly answered questions to find the percentage.
First, Taub missed 14 questions out of a total of 200 problems. To find out how many questions she answered correctly, we subtract the number of questions missed from the total number of questions:
\[
\text{Questions answered correctly} = 200 - 14 = 186
\]
Next, we calculate the percentage of questions answered correctly by using the formula:
\[
\text{Percentage of correct answers} = \left( \frac{\text{Questions answered correctly}}{\text{Total questions}} \right) \times 100
\]
Plugging in the numbers:
\[
\text{Percentage of correct answers} = \left( \frac{186}{200} \right) \times 100
\]
Calculating the fraction:
\[
\frac{186}{200} = 0.93
\]
Now, converting this to a percentage:
\[
0.93 \times 100 = 93\%
\]
Thus, the percentage of questions Taub answered correctly is:
\[
\boxed{93\%}
\]
1. Calculate the number of questions answered correctly.
2. Use the number of correctly answered questions to find the percentage.
First, Taub missed 14 questions out of a total of 200 problems. To find out how many questions she answered correctly, we subtract the number of questions missed from the total number of questions:
\[
\text{Questions answered correctly} = 200 - 14 = 186
\]
Next, we calculate the percentage of questions answered correctly by using the formula:
\[
\text{Percentage of correct answers} = \left( \frac{\text{Questions answered correctly}}{\text{Total questions}} \right) \times 100
\]
Plugging in the numbers:
\[
\text{Percentage of correct answers} = \left( \frac{186}{200} \right) \times 100
\]
Calculating the fraction:
\[
\frac{186}{200} = 0.93
\]
Now, converting this to a percentage:
\[
0.93 \times 100 = 93\%
\]
Thus, the percentage of questions Taub answered correctly is:
\[
\boxed{93\%}
\]
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