Question
The number of boys and girls in a school is in the ratio
7 : 5. If 24 boys leave the school and 36 girls join the school, then the ratio becomes 5 : 4. What was the original total number of students?Solution
Let the original numbers of boys and girls be 7x and 5x. According to the condition: (7x - 24) / (5x + 36) = 5 / 4 4(7x - 24) = 5(5x + 36) 28x - 96 = 25x + 180 3x = 276 x = 92 Original total students = 7x + 5x = 12x = 12 x 92 = 1104 Hence, the correct answer is 1104.
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