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In Mathematics / High School | 2014-11-23

Students at Central School were surveyed regarding lunch choices. Of the students that responded, exactly \(\frac{1}{3}\) wanted more fresh fruits and vegetables as choices. Of those students not wanting more fresh fruits and vegetables, exactly \(\frac{1}{8}\) wanted more seafood. What is the minimum number of students that responded to the survey?

Asked by ritz

Answer (2)

the minimum is assumed to be 1 so we must find what 1/1 is when 1=[(1/3)(1/8)] so 1/3 times 1/8=1/24 1/24th=1 so 24/24=24 the minimum number is 24

Answered by apologiabiology | 2024-06-10

The minimum number of students that responded to the survey is 24. This number ensures that the fractions of students wanting more fruits and vegetables as well as more seafood are whole numbers. In particular, 8 students want more fruits and vegetables, and 2 students want more seafood.
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Answered by apologiabiology | 2024-12-26