Minimum possible number of clients

Question

Exactly 1/5 of the clients who entered in Jon's shop yesterday were women. If exactly one third of the women were blonde. What is the minimum possible numbers of clients entered that shop yesterday ?

Answer 1

The Least Common Multiple (LCM) of 3 and 5 is 15.

 

"1/5 of the clients who entered in Jon's shop yesterday were women"   1/5 of 15 clients means 3 women

"one third of the women were blonde"    1/3 of 3 is one blonde woman

 

Minimum:  15 clients   (3 women and 12 men)

Answer 2

1/5 of the clients were women

1/3 of the women were blonde

(1/15) of the clients were blonde women

 

Minimum number of women 15

 

(1/5)c = 15

c = 15(5)

c = 75

 

Minimum number of clients was 75: 60 men and 15 women