Sunday 21 January 2007

Nugget Quiz


In America McDonalds sells Chicken McNuggets in boxes of 6, 9, or 20. Obviously one could purchase exactly 15 McNuggets by buying a box of 6 and a box of 9.

Could you purchase exactly 17 McNuggets?
How would you purchase exactly 53 McNuggets?
What is the largest number for which it is impossible to purchase exactly that number of McNuggets?
What if the McNuggets were available in boxes of 7, 11, and 17?
What is the largest number for which it is impossible to purchase exactly that number of McNuggests?
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Peter has decided that he really needs to think about calories. Peter went to McDonalds and was going to order a regular cheeseburger for the special rate of 39¢ on Sunday. When he got there, he decided that he better figure out how many calories he was going to ingest.
Unfortunately, the label was ripped just where the calorie count was written. Luckily, he could still read the rest of the nutritional content: It stated the following:

14 g of fat
36 g of carbohydrates
15 g of protein

So, he did some research and learned the following:

1 gram of fat has 9 calories
1 gram of carbohydrates has 4 calories
1 gram of protein has 4 calories

Based on Peter’s research, answer the following:

If the recommended daily allowance (RDA) for calories is 2000 calories/day, what fraction (or percent) of his daily intake has he now ingested?
What fraction (or percent) of the cheeseburger is fat?

Challenge
Peter’s friend Clayton was not worried about calories and so he decided to buy several packages of Chicken McNuggets to share with his friends (excluding Peter for obvious reasons!). When he got the box, he first passed it to Marcus, who ate 1/3 of the nuggets. Then, Marcus passed the bucket to Jon, who ate ¾ of what was left. Jon passed the bucket to Keith, who ate ½ of what was left. When Keith passed the bucket back to Clayton, there were only 3 McNuggets left. How many did he purchase in the first place?

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