Question 1192880: A class of 30 students took two quizzes. Sixteen passed the first quiz and 20 passed the second. If 4 students failed both quizzes, how many passed both?
Answer by ikleyn(52787)   (Show Source):
You can put this solution on YOUR website! .
A class of 30 students took two quizzes. Sixteen passed the first quiz and 20 passed the second.
If 4 students failed both quizzes, how many passed both?
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From the condition, 30-16 = 14 failed the first quiz, and
30-20 = 10 failed the second quiz,
while 4 failed both quizes.
Hence, the number of those who failed at least one quiz is 14 + 10 - 4 = 20.
It means that 30-20 = 10 students passed both quizes. ANSWER
Solved.
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