Liz is a hairstylist. Overall, 36% of her clients get their hair colored. If 18% of her clients get their hair colored, 48% of her female clients get their hair colored, what percent of her clients are male?

Question

mathstudent55 · Answer

36% of her clients get hair colored
18% of clients get hair colored. Are these male of female?

anonymous · Answer

sorry 18% of the male clients get their hair colored

mathstudent55 · Answer

Ok. M = number of male clients; F = number of female clients; T = total number of clients.
M + F = T
36%T = 18%M + 48%F
0.36(M + F) = 0.18M + 0.48F
0.36M + 0.36F = 0.18M + 0.48F
0.18M = 0.12F
M/F = 0.12/0.18 = 2/3
M/F = 2/3
Since the male to female ratio is 2 to 3, the male to total client ratio is 2 to (2 + 3), so it's 2/5. A 2/5 ratio is 40%