Question

A teacher gave his class two quizzes; 80% of the class passed the first quiz, but only 60% of the class passed both quizzes. Determine the percentage of students who passed the first quiz that also passed the second quiz.

Answer 1

The percentage of students who passed the first and the second quiz is still 60%. The 80% that passed the first quiz should not be taken into account when determining the answer since the 60% is plainly given.

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Answer 2

The answer is 75%.

Explanation:

Let x be the total number of students in the class.

As given - 80% of the class passed the first quiz, so it can be represented as
`0.8x`

And only 60% of the class passed the second quiz, that is represented as
`0.6x`

So, to determine the percentage of students who passed the first quiz that also passed the second quiz, we will do the following:

`(0.6x)/(0.8x)*100= 75`

Therefore, 75% students passed the first quiz and also passed the second quiz.