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Alligation & Mixtures · Question 41 of 88

Question 41

HardOriginal question

The 40 students of a class average 62 marks. The boys average 60 and the girls 65. How many girls are in the class?

Options for question 41

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Alligate the averages: boys : girls =(65−62):(62−60)=3:2= (65 - 62) : (62 - 60) = 3 : 2.

  2. Girls =25×40=16= \frac{2}{5} \times 40 = 16.

Worth noting

24 is the number of boys.

Concept
Alligation with averages
Typical time
120 s
Your time
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Ten questions from Alligation & Mixtures, at your own pace.

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Ten questions from Alligation & Mixtures, at your own pace.