In a school with 600 students, the average age of the boys is 12 years and that

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In a school with 600 students, the average age of the boys is 12 years and that of the girls is 11 years. If the average age of the school is 11 years and 9 months, then the number of girls in the school is

Options:

A . 150

B . 450

C . 350

D . 250

Answer: Option A
Answer: (a)Number of girls = x Number of boys = 600 – x ∴ (600 – x ) × 12 + 11x = 11$3/4$×600 = $47/4$ × 600 ⇒ 7200 – 12x + 11x = 7050 ⇒ x = 7200 – 7050 = 150

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