ɪɴ ᴀ ᴄᴇʀᴛᴀɪɴ ᴄᴏʟʟᴇɢᴇ, 40% ᴏꜰ ᴛʜᴇ ꜱᴇɴɪᴏʀ ᴄʟᴀꜱꜱ ꜱᴛᴜᴅᴇɴᴛꜱ ᴀʀᴇ ᴛᴀᴋɪɴɢ ᴘʜʏꜱɪᴄꜱ, 30% ᴀʀᴇ ᴛᴀᴋɪɴɢ ᴄᴀʟᴄᴜʟᴜꜱ ᴀɴᴅ 10% ᴀʀᴇ ᴛᴀᴋɪɴɢ ʙᴏᴛʜ. ɪꜰ 40 ꜱᴛᴜᴅᴇɴᴛꜱ ᴀʀᴇ ᴇɴʀᴏʟʟᴇᴅ ɪɴ ᴛʜᴇ ꜱᴇɴɪᴏʀ ᴄʟᴀꜱꜱ, ʜᴏᴡ ᴍᴀɴʏ ꜱᴛᴜᴅᴇɴᴛꜱ ᴀʀᴇ ᴛᴀᴋɪɴɢ ɴᴇɪᴛʜᴇʀ ᴘʜʏꜱɪᴄꜱ ɴᴏʀ ᴄᴀʟᴄᴜʟᴜꜱ?
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Answers
Question :
In a certain college , 40% of the senior students are taking physics , 30% are taking Calculus and 10% are taking both. If 40 students are enrolled in the senior class how many students are taking neither Physics nor Calculus?
Given :
- Total number of senior students = 40
- Percentage of senior students choosing Physics = 40%
- Percentage of senior students choosing Calculus = 30%
- Percentage of senior students choosing Physics and Calculus = 10%
To Find :
- The number of senior students who have neither chosen Calculus and Physics
Solution :
Number of Physics Students :
Total number of senior students = 40
Percentage of senior students choosing Physics = 40%
Number of senior students choosing Physics =
16 Senior students have chosen Physics.
Number of Calculus Students :
Total number of senior students = 40
Percentage of senior students choosing Calculus = 30%
Number of senior students choosing Calculus =
12 Senior students have chosen Physics.
Number of Students choosing both :
Total number of senior students = 40
Percentage of senior students choosing Calculus = 10%
Number of senior students choosing Calculus and Physics =
4 Senior students have chosen Calculus and Physics.
Number of Students choosing neither Calculus and Physics:
Total number of senior students = 40
Number of senior students choosing Physics = 16
Number of senior students choosing Calculus = 12
Number of senior students choosing Calculus and Physics = 4
Number of Students choosing neither Calculus and Physics
8 Senior students have neither chosen Calculus or Physics.
Answer :
8 Senior students have neither chosen Calculus or Physics.
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