In June 2020, the ratio of boys to girls in a college was 3 : 2. In September 2020, there were 80 fewer…
The college had 1300 students in June. Let the June numbers be 3x boys and 2x girls. Then \(\frac{3x-80}{2x-20}\) \(=\frac{7}{5}\), so 15x − 400 = 14x − 140 and x = 260,…
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In June 2020, the ratio of boys to girls in a college was 3 : 2. In September 2020, there were 80 fewer boys and 20 fewer girls in the college, and the ratio of boys to girls was 7 : 5. What was the total number of students in the college in June 2020?
Answer and explanation
Correct answer D
The college had 1300 students in June. Let the June numbers be 3x boys and 2x girls. Then , so 15x − 400 = 14x − 140 and x = 260, giving 780 boys and 520 girls, a total of 5x = 1300. Check: 700 : 500 = 7 : 5. A total of 1000, 1100 or 1200 fits the June ratio (600 : 400, 660 : 440, 720 : 480) but after the changes gives 520 : 380, 580 : 420 or 640 : 460, none of which is in the ratio 7 : 5.
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Common Management Admission Test (CMAT)