Question
In an office, the ratio of the number of males to number of females is 11:8. If 4 males joined the class and 6 females left the class, then the ratio of number of males to that of females in an office would become 3:2. Find the actual number of females in the class.
Solution
Let initially the number of males and females in an office be 11x and 8x respectively. According to the question, => (11x + 4) : (8x – 6) = 3:2 => 22x + 8 = 24x – 18 => x = 13 Therefore, number of females in an office = 8 x 13 = 104
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