Math, asked by keera39, 1 month ago

During the online classes, a school decided to award prizes to the students those who were on
video mode regularly, responded well in classes and were punctual in submissions. If the number
of students who got prizes for being on video mode regularly, responded well in classes and those
punctual in submissions are in the ratio of 2:3:5 and their product is 6480, find the number of
students getting prizes for each value.

Answers

Answered by kalpana8223
0

Answer:

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Answered by PoojaBurra
1

Given: Ratio of 'number  of students who got prizes for being on video mode regularly,' 'responded well in classes' and 'punctual in submissions' is equal to 2:3:5 and their product is 6480.

To find: The number of students getting prizes for each value.

Solution:

  • Let the number of students who got prizes for being on video mode regularly be equal to 2x.
  • Let the number of students that responded well in classes be equal to 3x.
  • Let he number of students that were punctual in submissions be 5x.
  • Since the product of 2x, 3x and 5x is 6480,

        2x * 3x * 5x = 6480

        30x^{3} = 6480

        x^{3} = \frac{6480}{30}

        x^{3} = 216

        x = 6

  • Hence, on calculating the value for each ratio,

         2x = 12, 3x = 18 and 5x = 30.

Therefore, the number of students who got prizes for being on video mode regularly is 12, the number of students that responded well in classes is 18 and the number of students that were punctual in submissions is 30.

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