Emma decided to make more baked goods for her neighbors. She used 1/10 lb less sugar to make cake than to make apple dumplings. She used 3/10 lb more sugar to make apple dumplings than to make apple crisp. If she used 5/10 lb of sugar to make the cake, how much sugar did she use to make the apple crisp? Explain your answer using numbers or words.

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)