In the given square rule paper with 5 squares, if we colour 3 squares red, then we have to colour 2 squares green. If 10 squares are given, find how many are to be red and how many of them are to be green.

Given that, If x is the common ratio, then for every 3 x red squares, there are 2 x green squares. Now, we know that the sum of the parts is equal to the total parts. Given total parts are 10 . Thus, we can write 3 x + 2 x = 10 ⇒ 5 x = 10 ⇒ x = 10 5 = 2 Therefore, the number of red squares = 3 × 2 = 6 and number of green squares = 2 × 2 = 4 .

In the given square rule paper with 5 squares, if we colour 3 squares red, then we have to colour 2 squares green. If 15 squares are given, find how many are to be red and how many of them are to be green.

Given that, If x is the common ratio, then for every 3 x red squares, there are 2 x green squares. Now, we know that the sum of the parts is equal to the total parts. Given total parts are 15 . Thus, we can write 3 x + 2 x = 15 ⇒ 5 x = 15 ⇒ x = 15 5 = 3 Therefore, the number of red squares = 3 × 3 = 9 and number of green squares = 2 × 3 = 6 .

In a school survey, it was found that for every 4 girls there were 5 boys. Fill in the following table. Girls 4 8 Boys 15 20 Total 45 Now answer these questions: If 20 girls join in a year. How many boys would join?

Given that, For every 4 girls there were 5 boys. So, when the number of girls = 4 . Then, number of boys = 5 . Now, we know that for every 4 x girls, there are 5 x boys. So, according to given data, 4 x = 8 ⇒ x = 8 4 = 2 So, number of boys = 5 × 2 = 10 Similarly, we can write that, Number of boys = 5 x . So, according to given data, 5 x = 15 ⇒ x = 15 5 = 3 Thus, number of girls = 4 × 3 = 12 . Again from the given data, 5 x = 20 ⇒ x = 20 5 = 4 Therefore, number of girls = 4 × 4 = 16 . Also, it is given that total students = 45 . Sum of parts = Total students So, 4 x + 5 x = 45 ⇒ 9 x = 45 ⇒ x = 45 9 = 5 So, number of girls = 4 × 5 = 20 . And, number of boys = 5 × 5 = 25 . Thus, the complete table is Girls 4 8 12 16 20 Boys 5 10 15 20 25 Total 9 18 27 36 45 Here, given that there are total number of girls = 20 . Now, we know that for every 4 x girls, there are 5 x boys. Thus, 4 x = 20 .....[ x is the common ratio] ⇒ x = 20 4 ⇒ x = 5 Thus, the number of boys would join = 5 × 5 = 25 .

E M B I B E

Mathematics Class 6>Chapter 11 - Ratio and Proportion>Exercise 5

Telangana Board Solutions for Chapter: Ratio and Proportion, Exercise 5: Exercise 5

Author:Telangana Board

Telangana Board Mathematics Solutions for Exercise - Telangana Board Solutions for Chapter: Ratio and Proportion, Exercise 5: Exercise 5

Attempt the practice questions on Chapter 11: Ratio and Proportion, Exercise 5: Exercise 5 with hints and solutions to strengthen your understanding. Mathematics Class 6 solutions are prepared by Experienced Embibe Experts.

Questions from Telangana Board Solutions for Chapter: Ratio and Proportion, Exercise 5: Exercise 5 with Hints & Solutions

MEDIUM

6th Telangana Board

IMPORTANT

Mathematics Class 6>Chapter 11 - Ratio and Proportion>Exercise 5>Q 1

In the given square rule paper with $5$ squares, if we colour $3$ squares red, then we have to colour $2$ squares green.
Question Image
If $10$ squares are given, find how many are to be red and how many of them are to be green.

MEDIUM

6th Telangana Board

IMPORTANT

Mathematics Class 6>Chapter 11 - Ratio and Proportion>Exercise 5>Q 2

In the given square rule paper with $5$ squares, if we colour $3$ squares red, then we have to colour $2$ squares green.
Question Image
If $15$ squares are given, find how many are to be red and how many of them are to be green.