Multiple choice

Students in a commerce class took a test. The avenge score of men is 70 and of women is 83. The class average is 76. What is the ratio of men to women in the class?

  1. 8 : 7

  2. 7 : 8

  3. 7 : 6

  4. 6 : 7
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C Correct answer
Explanation

Using the allegation method: Men average 70, Women average 83, Class average 76. Difference for men: |83-76| = 7. Difference for women: |70-76| = 6. The ratio of men to women is 7:6.

AI explanation

Using the method of alligation with the men's average of 70 and the women's average of 83 against the class average of 76, the ratio of men to women is (83 - 76) : (76 - 70). This calculates to 7 : 6.

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