Feather color in budgies is determined by two different genes, Y for pigment on the outside of the feather, and B for pigment on the inside of the feather. YYBB, YyBB, or YYBb is green; yyBB or yyBb is blue; YYbb or Yybb is yellow; and yybb is white. Two blue budgies were crossed. Over the years, they produced 22 offspring, five of which were white. What are the most likely genotypes for the two blue budgies?

The two blue budgies are most likely to be yyBb each

Explanation:

there are 3 different scenarios possible for crossing blue budgies:

1) yyBB crossed with yyBB

this is not possible because it does not allow for the genotype yybb (white budgies)

2) yyBB crossed with yyBb

again, this cross will not yield the genotype yybb required for white budgies as given in the problem statement

3) yyBb crossed with yyBb

which leaves us with this option being most likely the genotype of the parent budgies who will have white budgies as offspring

Hope that answers the question, have a great day!