# For every person who actually has the flu, there are 6 persons who have flu-like symptoms resulting from a cold. If a doctor sees 40 patients, write and solve a proportion to determine how many of these you would expect to have a cold?

##### 1 Answer

I suppose you could round this up to 35 people

#### Explanation:

Breaking the question down into component parts:

For every person

There are

6 persons

Note that the question wording is very specific about the proportions.

It is declared that the number of people with flue like symptoms due to a cold is 6.

It is also declared that the corresponding number of people with genuine flue is 1

................................................................................

Combined count of people with genuine flue symptoms and those with flue like symptoms is 1 + 6 = 7

This gives the fractional proportion of

Note that probability (statistics) is not certainty. It is a strong indicator.

So the expected proportion of genuine flue cases from 40 patients is:

Thus those that probably have a cold is