The one-pod condition (P) is dominant to the three pod condition (p). Normal leaf (L) is dominant to wrinkled leaf(l). Determine the genotypes for the two parents for all possible matings producing the following:

150 one pod normal, 147 one pod wrinkled, 51 three pod normal, 48 three pod wrinkled.

Also can you explain to me how did you find the genotypes.

To determine the genotypes of the two parents, let's work backwards using the information provided.

Let's assign the dominant allele for the one-pod condition as "P" and the recessive allele for the three-pod condition as "p". Similarly, let's assign the dominant allele for the normal leaf as "L" and the recessive allele for the wrinkled leaf as "l".

From the data provided, we have:

- 150 one pod normal
- 147 one pod wrinkled
- 51 three pod normal
- 48 three pod wrinkled

Let's analyze each category one by one:

1. One pod normal (150 individuals):
Since the one-pod condition (P) is dominant, individuals with these traits can either be PP or Pp. Since the leaf type is normal (L), the genotypes for the one pod normal category can be either LLPP or LLPp.

2. One pod wrinkled (147 individuals):
Similar to the previous category, individuals with the one-pod condition can be PP or Pp. However, since the leaf type is wrinkled (l), the genotypes for the one pod wrinkled category can be either LLpp or Llpp.

3. Three pod normal (51 individuals):
Since the three-pod condition (p) is recessive, individuals with this trait must be homozygous recessive (pp). Additionally, since the leaf type is normal (L), the genotype for the three pod normal category must be llpp.

4. Three pod wrinkled (48 individuals):
These individuals have both the recessive three-pod condition (pp) and the recessive wrinkled leaf trait (ll).

So, based on the given data, here are the possible genotypes for the two parents:

Parent 1 genotype: LLPP
Parent 2 genotype: Llpp

This is just one possible combination, and other combinations are also possible. However, we cannot determine the specific genotypes of the parents without more information or cross-mating experiments.

To determine the genotypes of the parents for the given offspring, we need to analyze the different phenotypic ratios and apply the principles of Mendelian genetics.

Let's break down the given phenotypic ratios:

1. 150 one pod normal: This means there are 150 individuals that have one pod and normal leaves. Since the one-pod condition and normal leaf traits are dominant, we can represent the genotype of these individuals as PpLl. (Pp represents one-pod condition, and Ll represents normal leaves.)

2. 147 one pod wrinkled: This represents individuals with one pod and wrinkled leaves. Since wrinkled leaf trait is recessive (represented by lowercase l), individuals with wrinkled leaves must have a homozygous recessive genotype for leaf shape (ll). Therefore, their genotype would be Ppll.

3. 51 three pod normal: This represents individuals with three pods and normal leaves. Since three-pod condition is recessive (represented by lowercase p), individuals with this condition must have a homozygous recessive genotype for pod shape (pp). Therefore, their genotype would be ppLL.

4. 48 three pod wrinkled: This represents individuals with three pods and wrinkled leaves. Since both three-pod condition and wrinkled leaf traits are recessive, these individuals must have homozygous recessive genotypes for both traits. Therefore, their genotype would be ppll.

Now, let's find the genotypes of the parents for each possible mating that produces the given offspring:

Mating 1: PpLl x PpLl
This mating would produce a combination of genotypes that account for both one pod and normal leaf conditions. The offspring genotypes would be:
- 25% PPLL (one pod normal)
- 25% PpLL (one pod normal)
- 25% PPll (one pod wrinkled)
- 25% Ppll (one pod wrinkled)

Mating 2: PpLl x Ppll
This mating would produce offspring with one pod and both normal and wrinkled leaf conditions. The possible genotypes would be:
- 50% PpLl (one pod normal)
- 50% Ppll (one pod wrinkled)

Mating 3: PpLl x ppLL
This mating would result in offspring with a combination of pod conditions (both one pod and three pod) but all having normal leaves. The possible genotypes would be:
- 50% PpLL (one pod normal)
- 50% ppLL (three pod normal)

Mating 4: PpLl x ppll
This mating would produce offspring with a combination of pod conditions and wrinkled leaves. The possible genotypes would be:
- 50% PpLl (one pod normal)
- 50% ppLl (three pod normal)

Thus, we have determined the possible genotypes for the two parents involved in each mating based on the given phenotypic ratios and Mendelian genetics principles.