the ratio of boys to girls in class 7 is 3:5.if the strength is 296,find the number of boys and girls
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Let the number of boys be 7x and number of girls be 5x
Given: The number of boys is 8 more than the number of girls
⇒7x=5x+8
⇒7x−5x=8
⇒2x=8
⇒x=
2
8
⇒x=4
Therefore, the number of boys =7×4
=28
And, the number of girls =5×4
=20
∴ Total number of students =20+28
=48
Therefore, the total class strength is 48
Given: The number of boys is 8 more than the number of girls
⇒7x=5x+8
⇒7x−5x=8
⇒2x=8
⇒x=
2
8
⇒x=4
Therefore, the number of boys =7×4
=28
And, the number of girls =5×4
=20
∴ Total number of students =20+28
=48
Therefore, the total class strength is 48
Answered by
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Answer:
If 3:5 is the ratio of boys to girls in the class, and the strength of the class is 296, then there are 111 boys and 185 girls in the class
Step-by-step explanation:
Given
The ratio of boys to girls in the class = 3:5
That is if 3x boys are there, then 5x girls will be there
Given total strength = 296
That is, 3x + 5x = 296
8x = 296
x = 296/8 = 37
So the number of boys = 3x = 3*37 =111
Number of girls = 5x = 5*37 = 185
So there are 111 boys and 185 girls in the class
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