In Brookline Village, we see 76 mitten cats and 324 normal cats. How many purebred dominants, hybrids and purebred recessives do we have?

In Brookline Village, we see 76 mitten cats and 324 normal cats as:

19% 76 are pure bred recessive

32% or 128 are pure bred dominants

49% 196 are hybrids.

Explanation:

Data given:

number of mittens = 76 (homozygous recessive)

normal cats = 324 (dominant)

purebred dominant or homozygous dominant = ?

homozygous recessive =?

heterozygous or hybrids =?

total cats = 400

purebred or homozygous recessive is mitten cats = 76

frequency of homozygous recssive individuals =

              = 0.19  (individuals with recessive genotype or 19%

q= 0.43

frequency of p+q =1

1-0.43 = p

  0.57 = p     and

(individuals with dominant genotype    = 0.32

32 % of total individuals are purebred dominant

x 400 = 128

p =0.57                

heterozygous or hybrid individual = 2pq

2(0.43 x 0.57

= 0.49 or 49%

x 400 = 196 cats are hybrid or heterozygous