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In a data survey mapping beverage consumption, two intersecting circular regions represent individuals who drink Tea and Coffee. The number of individuals located exclusively within the non-overlapping sector of the Coffee circle is , the number in the exclusive Tea sector is , and the intersecting common region contains . How many individuals drink only coffee?

image

  1. A
    45
  2. B
    75
  3. C
    55
  4. D
    70

Solution & Step-by-step Explanation

By standard set interpretation of Venn diagrams, the phrase "only coffee" refers strictly to the region of the coffee set that does not intersect with any other sets. The problem statement directly identifies this exclusive value as .

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In a data survey mapping beverage consumption, two intersecting circular regions represent individuals who drink Tea and Coffee. The number of individuals located exclusively within the non-overlapping sector of the Coffee circle is , the number in the exclusive Tea sector is , and the intersecting common region contains . How many individuals drink only coffee?

image
A
45
B
75
C
55
D
70

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