A teacher gave her class two quizzes. 30% of the class passed both quizzes and 60% of the class passed the first quiz. What percent of those who passed the first quiz also passed the second quiz

Respuesta :

The percentage of the first quiz passers who also passed the second test is (D) 75%.

What are percentages?

  • A percentage is a number or ratio expressed as a fraction of 100 in mathematics.
  • The percent sign, "%," is commonly used, but the abbreviations "pct.", "pct," and sometimes "pc" is also used.
  • A percentage is a number with no dimensions; it has no unit of measurement.

To find the percent of those who passed the first quiz also passed the second quiz:

  1. Let x denote the total number of students in the class.
  2. Now, If only 80% of the class passed the first quiz, it means that it translates to 0.8x.
  3. Now, if only 60% of the class passed the second quiz, it is translated as 0.6x.
  4. To find the percentage of the first quiz passers who also passed the second test, it is;

0.6x / 0.8x × 100% =  75%.

Therefore, the percentage of the first quiz passers who also passed the second test is (D) 75%.

Know more about percentages here:

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The correct question is given below:

A teacher gave his class two quizzes; 80% of the class passed the first quiz, but only 60% of the class passed both quizzes. What percent of those who passed the first quiz also passed the second quiz? (2 points)

(A) 20%

(B) 40%

(C) 60%

(D) 75%