in a recent survey of 400 students of noun, 100 were listed as smokers and 150 as chewers of gum, 75 were listed for both smoking and chewers of gum. How many students are either smokers nor gum chewers.
Don't you mean "NEITHER smokers nor gum chewers?"
Sra
in a recent survey of 400 students of noun, 100 were listed as smokers and 150 as chewers of gum, 75 were listed for both smoking and chewers of gum. How many students are neither smokers nor gum chewers.
The total number of smokers is 100, and 75 of them chew gum. Therefore, 25 of the smokers do not chew gum.
The total number of gum chewers is 150, and 75 of them smoke. Therefore, 75 of the gum chewers do not smoke.
Now, we have
75 smokers & gum chewers
25 smokers
75 gum chewers
For a total of 175 students who either smoke or chew gum.
Subtract that from 400 to find the number of students who do neither.
400 - 175 = 225
To find the number of students who are neither smokers nor gum chewers, we need to subtract the number of students who are listed as both smokers and gum chewers from the total number of students who are either smokers or gum chewers.
First, let's find the total number of students who are either smokers or gum chewers. We can do this by summing the number of smokers (100) and the number of gum chewers (150) and then subtracting the number of students who are listed as both smokers and gum chewers (75).
Total number of students who are either smokers or gum chewers = Number of smokers + Number of gum chewers - Number of students who are both smokers and gum chewers
Total number of students who are either smokers or gum chewers = 100 + 150 - 75 = 175
Now, to find the number of students who are neither smokers nor gum chewers, we subtract the total number of students who are either smokers or gum chewers (175) from the total number of students surveyed (400):
Number of students who are neither smokers nor gum chewers = Total number of students surveyed - Total number of students who are either smokers or gum chewers
Number of students who are neither smokers nor gum chewers = 400 - 175 = 225
Therefore, there are 225 students who are neither smokers nor gum chewers in the survey.