Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

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

Login
Create free account

Forgot password?
ConceptRatio and Proportion Example

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

Is there an error in this question or solution?

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

Video TutorialsVIEW ALL [1]

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.
S