Question

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

Answer 1

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.

Step-by-step 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 =
`(76)/(400)`

`q^(2)` = 0.19 (individuals with recessive genotype or 19%

q= 0.43

frequency of p+q =1

1-0.43 = p

0.57 = p and
`p^(2)`

(individuals with dominant genotype
`p^(2)` = 0.32

32 % of total individuals are purebred dominant

`(32)/(100)` x 400 = 128

p =0.57

heterozygous or hybrid individual = 2pq

2(0.43 x 0.57

= 0.49 or 49%

`(49)/(100)` x 400 = 196 cats are hybrid or heterozygous