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Mathematics

The ratio of the number of boys and girls in a school of 720 students is 7 : 5. How many more girls should be admitted to make the ratio 1 : 1?

  1. 90

  2. 120

  3. 220

  4. 240

Ratio Proportion

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Answer

Given,

The total number of students is 720.

The initial ratio of boys (B) to girls (G) is 7 : 5.

The total number of ratio parts is 7 + 5 = 12.

Initial number of boys = 712×720\dfrac{7}{12} \times 720 = 420.

Initial number of girls = 512×720\dfrac{5}{12} \times 720 = 300.

In order to make the ratio 1 : 1, the number of girls and boys must be equal.

Thus, 420 - 300 = 120, more girls should be admitted.

Hence, option 2 is the correct option.

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