Question : 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?
Option 1: 90
Option 2: 120
Option 3: 220
Option 4: 240
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Correct Answer: 120
Solution :
The current ratio of boys to girls in the school is 7 : 5.
This means that out of every 12 students (7 boys + 5 girls), 7 are boys and 5 are girls.
The number of boys and girls in the school is 720.
Number of boys = $\frac{7}{12}×720 = 420$
Number of girls = $\frac{5}{12}×720 = 300$
To make the ratio of boys to girls 1 : 1, the number of girls should be equal to the number of boys.
Additional girls needed = Number of boys – Number of girls = 420 – 300 = 120
Hence, the correct answer is 120.
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