Math, asked by veena48146, 2 months ago

the ratio of boys and girls in a class is 2:3 ,what is the number of girls in a class of 45 students? ​

Answers

Answered by stuti512
2

Step-by-step explanation:

2x+3x=45

5x=45

x=45/5

x=9

therefore, total no.of girls=(3×9)=27

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Answered by Ladylaurel
14

Answer :-

  • Number of gírls in the class = 27 students.

Step-by-step explanation:

To Find :-

  • The number of girls in a class

Solution:

Given that,

  • The ratio of boys and gírls in a class = 2:3
  • Total number of students in a class = 45 students

Assumption: Let us assume the ratio of boys and gírls as 2x and 3x,

Therefore,

  • 2x + 3x = 45

=> 2x + 3x = 45

=> 5x = 45

=> x = 45/5

=> x = 9

The value of x is 9.

Now, Number of gírls in the class is,

We assumed the number of gírls in the class as 3x,

=> 3x

=> 3*9

=> 27

Hence,

  • Number of girls in the class = 27 students.

Now, Verification

  • 2x + 3x = 45

Here,

  • L.H.S = 2x + 3x
  • R.H.S = 45

By evaluating L.H.S [ Putting the value of x ],

  • x = 9

L.H.S

=> 2x + 3x

=> 2*9 + 3*9

=> 18 + 27

=> 45

Now,

  • L.H.S = 45
  • R.H.S = 45

Therefore, L.H.S = R.H.S

Hence, Verified !

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