https://radioastron.groups.et.byu.net/dokuwiki/ 2026-05-21T12:30:32-0600 https://radioastron.groups.et.byu.net/dokuwiki/ https://radioastron.groups.et.byu.net/dokuwiki/lib/tpl/byu_2017_theme/images/favicon.ico text/html 2014-10-07T14:23:22-0600 Anonymous (anonymous@undisclosed.example.com) https://radioastron.groups.et.byu.net/dokuwiki/doku.php?id=wiki:donuts:fall2014:answers:apples&rev=1412713402&do=diff Answer He can deliver 833 apples. Break the trip into three legs. The first leg is 333 miles. Starting with 1000 apples, he will finish this leg with 666 apples. He returns to get another load and repeats this leg two more times. He now has 3*667 or 2001 apples. He starts on the second leg, which is 500 miles long. After completing this leg once, he goes back for the rest of his apples. Now he will have 2000 - 2*500 apples (sadly, he has to leave 1 apples at mile 333), and he only has 167 mile… text/html 2014-10-24T09:37:27-0600 Anonymous (anonymous@undisclosed.example.com) https://radioastron.groups.et.byu.net/dokuwiki/doku.php?id=wiki:donuts:fall2014:answers:blueeyes&rev=1414165047&do=diff Answer one solution is 4 total students with 3 having blue eyes but there is more than one answer. For the general solution, let x be the total number of students and let b be the number of students with blue eyes. P(2b) = .5 P(2b) = b/x * (b-1)/(x-1) text/html 2014-10-28T13:28:00-0600 Anonymous (anonymous@undisclosed.example.com) https://radioastron.groups.et.byu.net/dokuwiki/doku.php?id=wiki:donuts:fall2014:answers:bottles&rev=1414524480&do=diff Answer You can get 121 (or 122 if you cheat a bit) Start by purchasing 61 bottles. Drink all of those and trade in 60 bottles to get 30 full bottles. Drink those and trade them in to get 15 more bottles. Drink those, then trade in these 15 plus the one we have left over to get 8 more. These give us 4 more, which give us 2 more which give us 1 more. Sum all of these up and we get 121 full bottles with 1 empty. If we borrow one more empty bottle from a friend we can get one more full bottle, dri… text/html 2014-12-16T11:58:11-0600 Anonymous (anonymous@undisclosed.example.com) https://radioastron.groups.et.byu.net/dokuwiki/doku.php?id=wiki:donuts:fall2014:answers:camels&rev=1418756291&do=diff Answer $2 The total amount of money they get from selling the camels will be N2 where N is the total number of camels. The number of sheep they can buy will be N2/10. If they cannot split the sheep evenly, the number of sheep must be odd. If you look at the sequence of possible number of sheep for text/html 2014-11-11T13:43:04-0600 Anonymous (anonymous@undisclosed.example.com) https://radioastron.groups.et.byu.net/dokuwiki/doku.php?id=wiki:donuts:fall2014:answers:cans&rev=1415738584&do=diff Answer The can should be 12.4 cm tall with a radius of 6.2 cm. Volume: V = 2*pi*R^2*h Surface Area: A = 2*pi*R*h + 2*pi*R^2V = 1500cc = 2*pi*R^2*h --> h = 1500/(2*pi*R^2) To minimize the area, take derivatives and set them to zero. dA/dh = 0 = 2*pi*R = 0 --> implies that R = 0, an invalid solution dA/dR = 0 = d/dR{2*pi*R*h + 2*pi*R^2} 0 = d/dR{2*pi*R(1500/(pi*R^2)) + 2*pi*R^2 0 = d/dR{3000/(pi*R) + 2*pi*R^2 0 = -3000/(pi*R^2) + 4*pi*R text/html 2014-09-18T14:00:10-0600 Anonymous (anonymous@undisclosed.example.com) https://radioastron.groups.et.byu.net/dokuwiki/doku.php?id=wiki:donuts:fall2014:answers:coins&rev=1411070410&do=diff Answer Take one coin from the first box, two from the second, three from the third, four from the fourth and five from the fifth. Weigh all of these coins together. If all of the coins weighed 10 grams, you should have a total of 150 grams on the scale. If you take the total weight as reported by the scale and subtract off 150 grams, you will be left with some number between 1 and 5. This number corresponds to the box containing the heaver coins. text/html 2014-09-05T13:19:27-0600 Anonymous (anonymous@undisclosed.example.com) https://radioastron.groups.et.byu.net/dokuwiki/doku.php?id=wiki:donuts:fall2014:answers:dots&rev=1409944767&do=diff Answer Here is one possible answer, there may be others. text/html 2014-10-07T13:36:53-0600 Anonymous (anonymous@undisclosed.example.com) https://radioastron.groups.et.byu.net/dokuwiki/doku.php?id=wiki:donuts:fall2014:answers:friends&rev=1412710613&do=diff Answer The kids are 3, 3, and 8. There are many combinations of three numbers that have a product of 72, so of course Jack will need more information. After the second hint, Jack still does not know the answer. There are only two sets of ages that both have a product of 72 and add up to the same value: 2,6,6 and 3,3,8. All the other age sets have a unique sum text/html 2014-09-09T14:16:56-0600 Anonymous (anonymous@undisclosed.example.com) https://radioastron.groups.et.byu.net/dokuwiki/doku.php?id=wiki:donuts:fall2014:answers:go&rev=1410293816&do=diff Answer text/html 2014-12-01T11:09:10-0600 Anonymous (anonymous@undisclosed.example.com) https://radioastron.groups.et.byu.net/dokuwiki/doku.php?id=wiki:donuts:fall2014:answers:pirates&rev=1417457350&do=diff Answer 3121 Solution: (adapted from THE ULTIMATE PUZZLE SITE) Each pirate leaves 4/5(n-1) coins of a pile of n coins. This results in an awful formula for the complete process (because every time one coin must be taken away to make the pile divisible by 5): 4/5(4/5(4/5(4/5(4/5(p-1)-1)-1)-1)-1) text/html 2014-10-28T13:21:37-0600 Anonymous (anonymous@undisclosed.example.com) https://radioastron.groups.et.byu.net/dokuwiki/doku.php?id=wiki:donuts:fall2014:answers:sequence&rev=1414524097&do=diff Answer Next is 1 2 3 1 If you read each line out loud, you will see the pattern. Each line is a description of the previous line. 1 “One” 1 1 “One one” 2 1 “Two ones” 1 2 1 1 “One two One one” 1 2 3 1 “One two, three ones” text/html 2014-12-17T15:00:29-0600 Anonymous (anonymous@undisclosed.example.com) https://radioastron.groups.et.byu.net/dokuwiki/doku.php?id=wiki:donuts:fall2014:answers:square&rev=1418853629&do=diff Answer C = 6 N = 25 252 = 625 There are a couple of tricks you can use for this problem. Recognize that the only two digit numbers that you can square to get a three digit number are between 10 and 31. Also recognize that the final digit needs to be repeated when squared - the only digits that do this are 0, 1, 5, and 6. So now you only need to check a few values for N: 10, 11, 15, 16, 20, 21, 25, 26, 30, and 31. text/html 2014-12-16T11:41:55-0600 Anonymous (anonymous@undisclosed.example.com) https://radioastron.groups.et.byu.net/dokuwiki/doku.php?id=wiki:donuts:fall2014:answers:sticks&rev=1418755315&do=diff Answer Light one stick at both ends and light the other stick at one end. When one stick finishes burning, 30 min will have passed. Light the other end of the other stick. When this stick finishes burning, 15 more min will have passed. text/html 2014-11-18T13:19:08-0600 Anonymous (anonymous@undisclosed.example.com) https://radioastron.groups.et.byu.net/dokuwiki/doku.php?id=wiki:donuts:fall2014:answers:triple&rev=1416341948&do=diff Answer 1 - If you make a tic-tac-toe board out of the sticks, you get 16 right angles. 2 - One of the sodas was diet. The soda with sugar had a lower freezing point and wasn't frozen. 3 - The couple had only just developed the photos they took that showed the body. text/html 2014-10-07T14:15:12-0600 Anonymous (anonymous@undisclosed.example.com) https://radioastron.groups.et.byu.net/dokuwiki/doku.php?id=wiki:donuts:fall2014:answers:walking&rev=1412712912&do=diff Answer The easy solution is the north pole. However, this is not the only solution! Imaging you start somewhere near the equator. You walk 1 mile south then you turn west. If you were to walk west for a long time, you would eventually return to the same point you are currently standing. You could then walk north to your original starting location. Of course, you would walk much farther than 1 mile west, but this gives you an idea. As you walk west, you would trace out a circle of some radius R…