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Stefan took a total of 16 quizzes over the course of 8 weeks. How many weeks of school will Stefan have to attend this quarter before he will have taken a total of 18 quizzes? Assume the relationship is directly proportional.

A) 9 weeks
B) 10 weeks
C) 11 weeks
D) 12 weeks

1 Answer

4 votes

Final answer:

Stefan will have to attend school for 9 weeks to have taken a total of 18 quizzes.

Step-by-step explanation:

To find how many weeks Stefan will have to attend school before taking a total of 18 quizzes, we can set up a proportion with the given information. We know that Stefan took 16 quizzes over 8 weeks, so the ratio of quizzes to weeks is 16/8. We can use this ratio to find out how many weeks it would take to reach 18 quizzes.

16/8 = 18/x

Cross multiplying, we get 16x = 8*18. Dividing both sides by 16, we find that x = 9.

Therefore, Stefan will have to attend school for 9 weeks to have taken a total of 18 quizzes.

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