2/9 of the spectators at a football match are children . There are 800 more adults than children. The ratio of men to women is 7 : 3. How many more men than women are at the football match ?
Answers
Given : 2/9 of the spectators at a football match are children .
There are 800 more adults than children.
The ratio of men to women is 7 : 3.
To Find : How many more men than women are at the football match ?
Solution:
Let say Total spectators at a football match are 9 P
2/9 of the spectators at a football match are children
=> Children = (2/9) 9P = 2P
=> Adults are 9P - 2P = 7P
There are 800 more adults than children.
=> 7P = 2P + 800
=> 5P = 800
=> P = 160
=> 7P = 1120
Men + Women = 1120
ratio of men to women is 7 : 3.
=> 7x + 3x = 1120
=> 10x = 1120
=> x = 112
more men than women are at the football match = 7x - 3x = 4x
= 4 x 112
= 448
448 more men than women are at the football match
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