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The Ratio Between the Number of Boys and the Number of Girls in a Class is 4:3 . If There Were 20 More Boys and 12 Less Girls, the Ratio Would Have Been 2:1. Find the Total Number of Stude - ICSE Class 10 - Mathematics

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Question

The ratio between the number of boys and the number of girls in a class is 4:3 . If there were 20 more boys and 12 less girls, the ratio would have been 2:1. Find the total number of students in
the class.

Solution

Let the number of boys and girls in the class be 4x and 3x respectively. According to the given information,

`(4x +20) /(3x - 12)= 2/1`

4x + 20 = 6x - 24
44 = 2x

x = 22
Therefore,
Number of boys = 4 × 22 = 88
Number of girls = 3 × 22 = 66
∴ Number of students = 88 + 66 = 154

 

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APPEARS IN

 Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Ex.7A | Q: 17

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Solution The Ratio Between the Number of Boys and the Number of Girls in a Class is 4:3 . If There Were 20 More Boys and 12 Less Girls, the Ratio Would Have Been 2:1. Find the Total Number of Stude Concept: Ratio and Proportion Example.
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