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.

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.


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