Multiple choice

Directions: The table below shows the percentage of students and the ratio of boys and girls in different colleges. Total students = 1,800 College % students Boys : Girls A 20 4 : 5 B 18 1 : 2 C 14 4 : 3 D 22 6 : 5 E 10 2 : 3 F 16 9 : 7 What is the ratio of boys and girls in colleges A and B taken together?

  1. 45 : 71

  2. 37 : 52

  3. 43 : 67

  4. 67 :104
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

College A: 20% of 1800 = 360. Boys:Girls = 4:5 (4/9 * 360 = 160 boys, 200 girls). College B: 18% of 1800 = 324. Boys:Girls = 1:2 (1/3 * 324 = 108 boys, 216 girls). Total boys = 268, total girls = 416. Ratio = 268/416 = 67/104.

AI explanation

Using the given percentages, the number of boys in college A is 20 percent of 1800 multiplied by 4/9, which equals 160, and the number of girls is 200. For college B, 18 percent of 1800 is 324 students; multiplying by the fractions 1/3 and 2/3 gives 108 boys and 216 girls. The total number of boys in both colleges combined is 160 plus 108, which is 268, and the total number of girls is 200 plus 216, which is 416; this gives a ratio of 67 to 104.

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