The phenotype of vestigial (short) wings (vg) in Drosophila melanogaster is caused by a recessive mutant gene that independently assorts with a recessive gene for hairy (h) body. Assume that a cross is made between a fly the is homozygous for normal wings with a hairy body and a fly with vestigial wings that is homozygous for normal body hair. The wild-type F1 flies were crossed among each other to produce 1024 offspring. Which phenotypes would you expect among the 1024 offspring, and how many of each phenotype would you expect?

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Answer:

576 wild type, 192 hairy body, 192 vestigial wings and 64 vestigial wings, hairy body

Explanation:

In Drosophila, vestigial wings (vg) is caused by a recessive mutation to the dominant wild type wings (vg+).

A different, independent gene has a recessive allele (h) that can cause hairy body and a dominant wild type body (h+).

A cross is made between a fly that is homozygous for normal wings with a hairy body (vg+vg+ hh) and a fly with vestigial wings that is homozygous for normal body hair (vgvg h+h+).

All the F1 flies will be heterozygous for both genes vg+vg hh+, with wild-type phenotype.

A cross F1 x F1 was made that produced 1024 offspring. This is a dihybrid cross, so following Mendel's law of independent assortment the expected phenotypic proportions in the offspring will be 9:3:3:1. Among 1024 offspring, the expected number of individuals with each phenotype will be:

vg+_h+_ : 9/16 × 1024 = 576 wild type

vg+_ hh : 3/16  × 1024 = 192 hairy body

vgvg h+ : 3/16 × 1024 = 192 vestigial wings

vgvg hh : 1/16 × 1024 = 64 vestigial wings, hairy body

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