Answer: Approximately 34 persons will have only flu like symptoms.
Step-by-step explanation: Given that for every person who has the flu there are 6 people who have only flu like symptoms. A doctor sees 40 patients.
We are to determine approximately the number of patients that we would expect to have only flu like symptoms.
According to the given information,
the ratio of the number of persons who have flu and those who have only flu like symptoms is given by

So, let x and 6x represents the number of persons who have flu and who have only flu like symptoms, then we get

Therefore, the number of persons who have only flu like symptoms is given by

Thus, approximately 34 persons will have only flu like symptoms.