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The ratio of the number of boys to the number of girls in a school of 1650 students is 6: 5. If 124 new boys are admitted and few new girls are admitt
Question

The ratio of the number of boys to the number of girls in a school of 1650 students is 6: 5. If 124 new boys are admitted and few new girls are admitted, the ratio changes to 4: 3. What is the ratio of the newly admitted girls to the newly admitted boys?

A.

3:4

B.

62:9

C.

4:3

D.

9:62

Correct option is D

Let 6x be the number of boys and 5x be the number of girls in the school.
6x+5x=1650
11x=1650
x=150
So, the number of boys is:6x=6×150=900
And the number of girls is:5x=5×150=750

The new number of boys =  900+124=1024

1024750+g=43\frac{1024}{750+g} = \frac{4}{3}

g= 18

Ratio= 18: 124= 9 : 62

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