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People get caffeine from a variety of sources: coffee, tea and caffeine soda. Suppose that among adults, 55% drink coffee, 25% drink tea, and 45% drink soda. Furthermore, 15% drink coffee and tea, 25% drink coffee and soda, 5% drink tea exclusively, and 5% drink all three beverage types. Use a Venn Diagram to answer the following questions.
a) What percent of adults drink only coffee?
b) What percent of adults drink only soda?
c) What percent of adults drink none of the beverage types?

Respuesta :

garydesir1
Hello there!

A) What percent of adults drink only coffee?

Percent of only coffee = 55 - (15 - 5) - (25 - 5) - 5
                                = 55 - 10 - 20 - 5
                                = 20%
Thus, 20% of the adults drink coffee


B) What percent of adults drink only soda?

Percentage of only soda = 45 - (25 - 5) - 5
                                    = 45 - 20 - 5
                                    = 25 - 5
                                    = 20%
Thus, 20% of adults drink only soda

C) What percentage of adults drink none of the beverage types?

Percentage of the beverage types = 100 - 20 - 20 - 5 - 10 - 20 - 5
                                                 = 20%
Thus, 20% percentage of adults drink none of the beverage types.

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