Answer: There are 40 dentists who would recommended Sparkly toothpaste to their patients .
Step-by-step explanation:
Since we have given that
Out of 20 dentists, a survey was taken of about Sparkly toothpaste,
Number of dentists recommended Sparkly toothpaste to their patients = 16
Percentage of dentists who recommended Sparkly toothpaste to their patients be
![\frac{16}{20}\times 100=80\%](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B20%7D%5Ctimes%20100%3D80%5C%25)
Out of 30 dentists, a survey was taken of about Sparkly toothpaste,
Number of dentists recommended Sparkly toothpaste to their patients = 24
Similarly,
Percentage of dentists who recommended Sparkly toothpaste to their patients be
![\frac{24}{30}\times 100=80\%](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7B30%7D%5Ctimes%20100%3D80%5C%25)
Now, we have asked to find the number of dentists recommended Sparkly toothpaste to their patients if survey was taken of 50 dentists.
As we have seen that there is always 80% of total number of dentists surveyed have recommended Sparkly toothpaste to their patients ,
so, According to this pattern , we get that
![\frac{80}{100}\times 50=40](https://tex.z-dn.net/?f=%5Cfrac%7B80%7D%7B100%7D%5Ctimes%2050%3D40)
Hence, there are 40 dentists who would recommended Sparkly toothpaste to their patients .