Question

There are some students in an auditorium, some of them are dressed in white and the others are drcssed in bluc. The ratio of the number of boys dressed in white to the number of girls dressed in blue is `4 : 3` and the ratio of the total number of girls dressed in white to the number of boys dressed in blue is ` 4 : 5`. The ratio of the total number of boys and girls dressed in white to the total number of boys and girls dressed in blue is ` 12 : 13`. Find the ratio of the total number of boys to that of girls in the auditorium.
A. `13 : 15`
B. ` 19 : 17`
C. ` 14 : 11`
D. Cannot be determined

Answer 1

Correct Answer - C
(i) Frame the linear equations and solve them.
(ii) Given data can be expressed as the number of boys dressed in white = 4p
the number of girls dressed in blue = 3p
the number of girls dressed in white = 4q
the number of boys dressed in blue = 5q.
(iii) From the above data
`(4p+4q)/(3p+5q) = 12/13," find "(p/q)` from this equation.
(iv) Required ratio is `(4p+5q) : (3p+4q)`, i.e., ` 4(p/q) + 5 : 3(p/q) + 4`.