Choose two parents. Remember that blue-winged butterflies have the genotype , red-winged butterflies have the genotype bb, and the genotype produces purple-winged butterflies. What are the genotypes and phenotypes of the parents? What are the genotypes and phenotypes of the offspring?

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something is wrong, I think you mistyped. I think you meant this:

Choose two parents. remember that blue-winged butterflies have the genotype bb , re d-winged butterflies have the genotype bb, and the genotype bb produces purple-winged butterflies. what are the genotypes and phenotypes of the parents? what are the genotypes and phenotypes of the offspring?
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Answer :

Genotype of Parents - Bb

Phenotype of parents - Purple Winged parents

Genotypes and Phenotypes of Offsprings

BB- Blue winged butterfly offspring

bb - red winged butterfly offspring

Bb - Purple winged butterfly offsprings

Explanation:

Here , three type of offsprings are produce

a) Butterflies having blue wings

b) Butterflies having red wings

c) Butterflies having purple wings

Let us assume the Blue wing allele is represented by "B", Red wing allele is represented by "b" .

Here, purple winged butterflies are produced which means that both the alleles of blue and red wings are codominant , which means that they both expresses their trait.

Now, we will work out the genotype of offsprings first

a) Butterflies having blue wings - BB

b) Butterflies having red wings - bb

c) Butterflies having purple wings - Bb

On the basis of genotype of offsrpings the genotype of parents would be

Bb

Which means both the parents would be heterozygous with purple coloured wing

Cross check -

when two purple winged heterozygous butterflies are crossed, the following offsprings are produced

B b

B BB Bb

b Bb bb

BB- Blue winged butterfly offspring

bb - red winged butterfly offspring

Bb - Purple winged butterfly offspring
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