Genetic Question on Corn

Hi i've been trying to work this question out but i'm getting kinda stuck..

The kernel on a cob can either be purple (dominant colour) or yellow (reccesive colour) or pink (intermediate colour). The colour purple is the product of a two step reaction with Pink being the intermediate product. You counted 1600 kernels on F2 cobs.

Questions:
1) How many purple Kernel would you expect to find?
2) How many Pink Kernel would you expect to find
3) How many Yellow Kernel would you expect to find?
4) What colour would be the double homozygous recessive cob?
5) What colour would the F1 cob be?

For 1) i would choose 900 as Purple is the dominant
2) 400
3) 100
yellow
Purple

For the answers 1-5 you could choose from the following:
900, 800, yellow, pink and purple, purple, 300, 100 and 400

Thanks for the help guys!