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    there are 102 teachers in a school of 3300 students. find the ratio of the number of teachers to the number of students.

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    There are 102 teachers in a school of 3300 students. Find the ratio of the number of teachers to the number of students.

    Open in App Solution

    Step 1: Ratio:

    The comparison of two quantities of the same kind is known as a ratio.

    The sign used to denote a ratio is “:”.

    The ratio can be represented in various form, such as:

    a. a to b b. a:b c. ab

    Step 2: Determine the ratio of the number of teachers to the number of students

    Given,

    Number of teachers in a school =102

    Number of students in a school =3300

    Ratio of number of teachers to the number of students = Number of teachers / Number of students

    Ratio of number of teachers to the number of students =1023300

    Ratio of number of teachers to the number of students =2×3×172×3×550

    Ratio of number of teachers to the number of students =17550

    Hence, the ratio of the number of teachers to the number of students is 17:550.

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    Standard VII Mathematics

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    स्रोत : byjus.com

    There are 102 teachers in a school of 3300 students. Find the ratio of the number of teachers to the number of students

    There are 102 teachers in a school of 3300 students. Find the ratio of the number of teachers to the number of students. The ratio of the number of teachers to the number of students is 17:550.

    There are 102 teachers in a school of 3300 students. Find the ratio of the number of teachers to the number of students

    Solution:

    Number of teachers in the school = 102

    Number of students in the school = 3300

    The ratio of the number of teachers to the number of students =  Number of teachers in the school  / Number of students in the school

    = 102 / 3300 Here,

    The factors of 102 are 2 × 3 × 17 and the factors of 3300 is 2 × 2 × 3 × 5 × 5 × 11

    Now, the HCF of 102 and 3300 is 2 × 3 = 6.

    = (6 × 17) / (6 × 550)

    = 17 / 550

    Therefore, 17:550 is the resultant ratio of the number of teachers to the number of students.

    Class 6 Maths NCERT Solutions Chapter 12 Exercise 12.1 Question 9

    There are 102 teachers in a school of 3300 students. Find the ratio of the number of teachers to the number of students

    Summary:

    It is given that there are 102 teachers in a school of 3300 students. We have found the ratio of the number of teachers to the number of students is 17:550.

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    स्रोत : www.cuemath.com

    Ex 12.1, 9

    Ex 12.1, 9 There are 102 teachers in a school of 3300 students. Find the ratio of the number of teachers to the number of students.Number of teachers = 102 Number of students = 3300 Ratio = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑒𝑎𝑐ℎ𝑒𝑟𝑠)/(𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑠𝑡𝑢𝑑𝑒𝑛𝑡𝑠) = 102/3300 = 51/1650 = 17/550 ∴ Required ratio is 17 : 550

    Check sibling questions

    Ex 12.1, 9 - Chapter 12 Class 6 Ratio And Proportion

    Last updated at Sept. 21, 2018 by Teachoo

    Transcript

    Ex 12.1, 9 There are 102 teachers in a school of 3300 students. Find the ratio of the number of teachers to the number of students.Number of teachers = 102 Number of students = 3300 Ratio = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑒𝑎𝑐ℎ𝑒𝑟𝑠)/(𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑠𝑡𝑢𝑑𝑒𝑛𝑡𝑠) = 102/3300 = 51/1650 = 17/550 ∴ Required ratio is 17 : 550

    Next: Ex 12.1, 10 Important →

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    Davneet Singh

    Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

    स्रोत : www.teachoo.com

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