Question 50

Male and female students from a particular subject took a class test. The average score of male students was 70 and of female students was 83. The class average however was 76. Determine the ratio of males to females in the class ?

Name: Male and female students from a particular subject took a class test. The average score of male students was 70 and of female students was 83. The class average however was 76. Determine the ratio of males to females in the class ?
Uploaded: 2026-04-05T13:36:01.848626+05:30
Duration: 1 min 56 s
Description: Male and female students from a particular subject took a class test. The average score of male students was 70 and of female students was 83. The class average however was 76. Determine the ratio of males to females in the class ?

Solution

Let the number of males = M and females = F

We can now use the weighted average formula:

$$\dfrac{70M+83F}{M+F}=76$$

Or, $$70M+83F=76M+76F$$

$$70M+83F=76M+76F$$

$$7F=6M$$

Hence, ratio: $$\dfrac{M}{F}=\dfrac{7}{6}$$

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Male and female students from a particular subject took a class test. The average score of male students was 70 and of female students was 83. The class average however was 76. Determine the ratio of males to females in the class ?

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