Ex 2.2, 10 - The number of boys and girls in a class are in ratio 7:5

Ex 2.2, 10 - Chapter 2 Class 8 Linear Equations in One Variable - Part 2

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Question 10 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?Given that Number of Boy’s and Girl’s in a class are in the ratio 7:5 (π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π΅π‘œπ‘¦π‘ )/(π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ πΊπ‘–π‘Ÿπ‘™π‘ )=7/5 Let the number of boys in the class = 7x & the number of girls in the class = 5x Given that number of boys is 8 more than the number of girls. Number of Boys = Number of Girls + 8 7x = 5x + 8 7x βˆ’ 5x = 8 2x = 8 x = 4 Therefore, Number of Boys = 7x = 7 Γ— 4 = 28 & Number of Girls = 5x = 5 Γ— 4 = 20 Total class strength = Number of boys + Number of Girls = 28 + 20 = 48 Students

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