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16 February, 04:37

In a survey, the ratio of the number of people who preferred tea to those who preferred coffee was 9:5

36 more people preferred tea to coffee.

How many people were in the survey?

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Answers (1)
  1. 16 February, 05:03
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    45 people prefered coffee, 81 people prefered tea. A total of 126 people were surveyed.

    Step-by-step explanation:

    Let t be the people who prefer tea, and let c be the people who prefer coffee.

    The ratio between tea and coffee is 9:5, thus we have t/c=9/5. Cross products give us 5t=9c.

    Also, we have 36 more people prefer tea than coffee, so we have c+36=t

    Thus we have: 5 (c+36) = 9c

    5c+180=9c

    180=4c

    c=45

    c+36=t

    45+36=81
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