Question 140

Study the given pie chart and answer the question that follows.

If the ratio of the number of boys to that of girls in school C is 6 : 5 and that in school B is 7 : 11, then what is the ratio of the number of boys in school C to the number of girls in school B?

Solution

In-School c  Boys and Girls ratio  B: G = 6:5 

total student in C = $$9000 \times \dfrac{79.2}{360}$$

$$\Rightarrow 1980 $$

Now $$6x +5x = 1980 $$ (where x is propostional costant )

$$\Rightarrow 11x= 1480 $$

$$\Rightarrow x = 180 $$

then School  C (Boys )= $$6 \times 180 $$

In school B Boys and Girls Ratio = 7 : 11

then total student in B = $$9000  \times {64.8}{360} = 1620$$

so 18x = 1620 

x= 90 so School B Girls = $$11\times 90 $$ 

then ratio = $$ 6\times 180 : 11\times 90 $$

$$\Rightarrow 12 : 11 Ans $$


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