Here goes, I hate fractions. I have been working on this for hours. I have the text book in front of me and I still can't get it.....
Tom always loved the salt water taffy his parents bought while on summer vacation at the beach. His memories probably had something to do with his accepting a job with the Atlantic Candy Company as a marketing manager. Among other things, his new job involved assessing the mix of flavors in a box of taffy. He remembers saving the orange and green with red pieces for last because they were his favorites; however the company has recent market research that shows that his favorite flavors are not the most popular flavors with most other people. Milk chocolate, dark chocolate and chocolate mint are the most popular flavors, followed by peppermint and licorice. Tom knows that most 1-lb boxes of Atlantic Candy Company taffy containing 64 pieces includes 4 green with red pieces, 3 white with red peppermint pieces, 3 white with green peppermint pieces, 3 milk chocolate pieces with white and pink bull’s-eye centers, 2 milk chocolate with green peppermint pieces, 7 white pieces, 12 dark chocolate pieces, 9 orange pieces, 15 milk chocolate pieces and 6 licorice pieces.
1. What is the fraction of the pieces of taffy that have chocolate in them? What faction of the pieces are Tim’s favorite orange and green with red?
2. Does the Atlantic Candy Company assortment need to be adjusted to match the most people’s taste preference better if the top five choices are considered? What percentage of the pieces in the Atlantic Candy Company 1-pound box are chocolate, peppermint and licorice? Hint” if a piece falls in two categories, count it only once.
3. Based on the market research, Tom thinks it would be profitable to sell an assortment box that has double-size pieces of taffy in chocolate and peppermint in a special holiday gift box. If they use a ˝ pound box how many pieces should they include? (1lb = 64 pieces of regular size pieces)
4. IF they produce another ˝-pound box containing an equal number of double-size milk chocolate taffy, chocolate-mint taffy, and peppermint taffy, how many pieces of each flavor will there be in this special gift box?
Gosh, I do fine in all my other subjects. I think I'm going to cry. Please help!
Milk chocolate, dark chocolate and chocolate mint are the most popular flavors, followed by peppermint and licorice.
64 pieces includes
3 white with red peppermint pieces,
3 white with green peppermint pieces,
3 milk chocolate pieces with white and pink bull’s-eye centers,
2 milk chocolate with green peppermint pieces,
12 dark chocolate pieces,
15 milk chocolate pieces,
6 licorice pieces.
That is 44 out of 64 which is 44/64=11/16.
If they are double sized that would be 16 pieces (assuming that a double sized piece is twice the volume)
If they are twice the linear dimensions they are 8 times the volume and weight, and so the box will contain 4 peices.