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Suppose 28% of CCSF students take Biology, 75% take English, and 17% take neither. Use a Venn Diagram to answer the following questions:

What percentage of CCSF students take both Biology and English?
A) 3%
B) 8%
C) 53%
D) 10%

User AruniRC
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1 Answer

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Final answer:

To find the percentage of CCSF students taking both Biology and English, we use a Venn Diagram calculation, which indicates 20% of students take both subjects. However, this result does not match any of the given options, which suggests there might be an error in the question or the options provided.

Step-by-step explanation:

To determine the percentage of CCSF students that take both Biology and English, we need to analyse the given information using a Venn Diagram. Here's how it's done:

  • Total percentage of students taking at least one course: 100% - 17% (percentage taking neither) = 83%.
  • Percentage taking Biology: 28%.
  • Percentage taking English: 75%.

Now, add the individual percentages of Biology and English and subtract the total percentage taking at least one course:

(Percentage taking Biology) + (Percentage taking English) - (Total taking at least one course) = (28% + 75%) - 83% = 103% - 83% = 20%.

This 20% represents the percentage of students that are double-counted, those that take both Biology and English. Thus, according to the choices given:

  • A) 3%
  • B) 8%
  • C) 53%
  • D) 10%

The nearest value to 20% which is a possible answer is 20% itself, but as per the given options, we need to select the closest correct option. Since none of the options is close to 20% and it seems there's a typo or mistake in the provided options, we need to clarify this discrepancy before providing a final answer.

User Lynnann
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