Math, asked by XxItzYourSenoritaxX, 23 days ago


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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

Answered by Anonymous
19

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 =

\dfrac{Percentage \:\:of\:\:Physics\:\:Students}{100}\times Total\:\:Number\:\:of\:\:Students\\\\\\=\dfrac{40}{100}\times40\\\\\\=\dfrac{2}{5}\times40\\\\\\=2\times8\\\\\\=16

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 =

\dfrac{Percentage \:\:of\:\:Calculus\:\:Students}{100}\times Total\:\:Number\:\:of\:\:Students\\\\\\=\dfrac{30}{100}\times40\\\\\\=\dfrac{3}{10}\times40\\\\\\=3\times4\\\\\\=12

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 =

\dfrac{Percentage \:\:of\:\:Calculus\:\:\&\:\:Physics\:\:Students}{100}\times Total\:\:Number\:\:of\:\:Students\\\\\\=\dfrac{10}{100}\times40\\\\\\=\dfrac{1}{10}\times40\\\\\\=1\times4\\\\\\=4

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

=40 - ( 16 + 12 + 4)\\\\\\=40-(32)\\\\\\=40-32\\\\\\=8

8 Senior students have neither chosen Calculus or Physics.

Answer :

8 Senior students have neither chosen Calculus or Physics.

Be Brainly!

Answered by kanvi14
2

Kindly refer the attachment...

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