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1. Hi
Need some help on this question,
Group of 165 men and women visit a cinema. 20% more men than women. How many men in the group?

What am I doing wrong?

20% of 165 = 33
165 - 33 = 132
132 / 2 = 66 women (and 66 men)
66 (men) + 33 (20% extra) = 99 men

99/ 165 x 100 = 60%
and 66/165 x100 = 40%
60 - 40 = 20% (more men)

So my answer is 99 men where text book answer is 90 men???
2. You misinterpreted the question.
suppose-
no. of men=x
no. of women=y
so,
x+y=165
we know no. of men = 20% more than no. of women, so-
x=(20/100)*y+y
= 0.2*y + y
substituting value of x in first equation

(0.2*y + y ) + y = 165
2.2*y=165
y=165/2.2
y=75
therefore, x=90
hence, 90 men.
3. Hi
Thanks for responding, understand this now

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