Question

Jonah took a survey. Of the students he surveyed, 40% of the students play baseball. Of those students, 60% also play soccer. If 12 students play both baseball and soccer, how many students did Jonah survey? Explain.

Answer 1

Let s represent the number of students surveyed.
.. 0.40s play baseball
.. 0.60*(0.40s) play soccer and baseball
.. 0.60*0.40s = 12 . . . . . . . 12 students play soccer and baseball
.. s = 12/(0.60*0.40) = 12/0.24 = 50

Jonah surveyed 50 students.

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This is the number of students required to match Jonah's calculations.