In the garden club there are 18 ladies and 2 gentlemen.
Given, In a garden club, 90% is ladies.
The number of ladies is 12 more than 3 times the number of gentlemen.
Let the total members be, x
the number of ladies be, l and the number of gentlemen be, g
according to the question,
l = 90x/100
l = 9x/10
also, l = 12 + 3g
g = (l - 12)/3
as, l + g = x
9x/10 + (9x/10 - 12)/3 = x
9x/10 + 9x/30 - 4 = x
36x/30 - 4 = x
6x/30 = 4
x = 20
so, ladies be, l = 9x/10 = 18
and gentlemen be, g = 20 - 18 = 2
Hence, in the garden club there are 18 ladies and 2 gentlemen.
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