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Answers
STEP 1: Find fraction of boys:
Fraction of girls = 2/7 (Given)
Since 2/7 of them are girls, the rest must be boys:
Fraction of boys = 1 - 2/7 = 5/7
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STEP 2: Equate and find number of girls
Fraction of boys = 5/7
Total number of boys = 560 (Given)
⇒ 5/7 = 560
⇒ 1/7 = 560 ÷ 5 = 112
There are 2/7 girls:
⇒ 2/7 = 112 x 2 = 224
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Answer: There are 224 girls
Let the number of students in the school be x.
Given that (2/7) part of students in a class are girls.
= > (2/7)x
= > 2x/7.
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Number of boys = x - (2x/7)
= > (7x - 2x)/7
= > 5x/7.
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Given that total number of boys is 560.
= > (5x/7) = 560
= > 5x = 3920
= > x = 784.
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Then, the number of girls = 2(784)/7
= > 224.
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Therefore, the total number of girls in the class = 224.
Hope this helps!