Multiple choice

Directions: Study the following table and answer the question below. School name Total number of students enrolled Percentage of enrolled students who opted for Biology Ratio of male to female students who opted for Biology A 900 30% 7 : 8 B 400 38% 9 : 10 C 1,000 24% 5 : 19 D 800 18% 5 : 7 What is the ratio of the total number of male students to that of female students who opted for Biology in Schools A and D together?

  1. 38 : 31

  2. 21 : 38

  3. 31 : 28

  4. 31 : 38
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

School A: 900 students, 30% Biology = 270. Ratio 7:8 (total 15 parts). Male = (7/15)*270 = 126, Female = 144. School D: 800 students, 18% Biology = 144. Ratio 5:7 (total 12 parts). Male = (5/12)*144 = 60, Female = 84. Total Males = 126+60 = 186. Total Females = 144+84 = 228. Ratio 186:228 = 31:38.

AI explanation

In School A, the total number of Biology students is 30% of 900 = 270, and given the male to female ratio of 7 : 8, the number of males is (7 / 15) * 270 = 126 and females is (8 / 15) * 270 = 144. In School D, the total number of Biology students is 18% of 800 = 144, so the number of males is (5 / 12) * 144 = 60 and females is (7 / 12) * 144 = 84. The combined ratio of males to females is (126 + 60) : (144 + 84) = 186 : 228, which simplifies to 31 : 38.

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