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The number of boys and girls in a class are in the ratio 7 : 5. The number of boys is 8 more than the number of girls. What is the total class strength?
Linear Equations in One Variable
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04/08/2021 11:27 am
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The number of boys and girls in a class are in the ratio 7 : 5. The number of boys is 8 more than the number of girls. What is the total class strength?
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04/08/2021 11:35 am
Let the number of boys be 7x and girls be 5x.
According to the question,
7x = 5x + 8
⇒ 7x – 5x = 8
⇒ 2x = 8
⇒ x = \(\frac{8}{2}\)
⇒ x = 4
Therefore, Number of boys = 7 × 4 = 28
And, Number of girls = 5 × 4
= 20
Total number of students = 20 + 28
= 48
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