The ratio of girls and boys in a class is 1: 3. Set up an equation between the students of a class and boys and then draw its graph. Also find the number of boys in a class of 40 students from the graph. -Maths 9th

The ratio of girls and boys in a class is 1: 3. Set up an equation between the students of a class and boys and then draw its graph. Also find the number of boys in a class of 40 students from the graph. -Maths 9th
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Answer :

Total number of boys and girl = 40, Ratio = 1 : 3 Number of girls be A and Number of boys be B. Ratio of number of girls and boys is 1 : 3, so  Therefore 3A=B To find number of boys we use the ratio 1+3=4   Therefore the number of boys,  Number of girls = Total number of girls and boys – Number of boys = 40 – 10 = 30 girls Now we can also find number of boys using graphical method. To write the equation in graphical form we know that A = 10 and B = 30 so it can be written as A = A and B = 3A The total number of boys and girls = 4A, So plot the graph of A, 3A, 4A and A = 10 which is showed attached image below. As we can see that (10, 10) represents the number of boys in the graph, whereas in point (10, 30) the number 30 represents the number of girls. 40 as total on the line A = 10, which is the common equation.  
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