Practice: Multi-loci Crosses

A beetle species has the following genetic relationships:
Wing length - long (L) is sex-linked dominant to short (l) on the D chromosome
Wing colour - Blue (B) is co-dominant with black and makes purple wings (P) which are dominant to white (b)
In this beetle species, females have two distinct sex chromosomes and have an XD genotype while males of this species have a DD genotype.
If you crossed a male beetle who has homozygous long purple wings to a female beetle with short white wings, what proportion of the offspring would be male with long, black wings?
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