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The boys and girls in a school are in the ratio $9 : 5$ . If the number of girls is $320$ , then the total strength of the school from the choices given below is

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840

896

900

956

answer is B.

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Detailed Solution

It is given that, the ratio of boys and girls is in the ratio

9 : 5

320

is the total number of girls.
Let the number of boys be

x

.
Therefore,

x 320 = 95

By solving the above equation,

5 x = 2880

x = 576

The total strength of the school

=

Number of boys

+

Number of girls.

= 576 + 320 = 896

The total strength of school is

896

.
Hence option 2) is correct.

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