2476 adults watch a cricket match. The ratio men : women is 3 : 1 How many more men than women watch the match?

The ratio of 3:1 involves 4 units. 3 men +1 woman.

Find how many people each unit represents:

     4units        2476 people

Therefore each unit represents 2476/4 = 619 people per unit

Now, take the ratio, and multiply up:

3:1  =>  3619:1619   =>   1857:619    You check this is right by adding the two fractions:

1857 men + 619 women = 2476 people therefore, we are correct

The number of men more than women = Number of men - Number of women

                                                        = 1857-619 = 1238 and that is your answer

Answered by Nathaniel S. Maths tutor

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