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Mixtures & Alligation · Question 5 of 60

Question 5

EasyOriginal question

In a class test, the boys averaged 62 marks and the girls averaged 74 marks. The whole class averaged 70 marks. What is the ratio of boys to girls?

Options for question 5

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Boys : girls = (74−70):(70−62)(74 - 70) : (70 - 62).

  2. = 4:8=1:24 : 8 = 1 : 2.

Worth noting

The class average is nearer the girls' average, so there must be more girls. 2:12 : 1 is the reversed ratio.

Concept
Alligation rule applied to averages
Typical time
40 s
Your time
—
The rule this testsThe alligation rule
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