In a class, the total numbers of boys and girls are in the ratio 4: 3 . On one day it was found that 8 boys and 14 girls were absent from the class and that the number of boys was the square of the number of girls. What is the total number of students in the class?

Step-by-step solution

Ratio is 4: 3 therefore Boys are 4 x Girls are 3 x aligned & given (4 x-8)=(3 x-14)^2 & 9 x^2+196-84 x=4 x-8 & 9 x^2-88 x+204=0 & x= 88 88^2-4 9 204 18 & = 2 (22 22^2-9 51 ) 9 & = 2(22 5) 9 =2 27 9 or 2 17 9 & x=6 or 34 9 aligned 7 x=42 or non integer 42 students