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Thread: Crazy 8, cont'd

20030531, 04:57 #1
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Crazy 8, cont'd
Four more...
 Ricky

20030531, 12:49 #2
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Re: Crazy 8, cont'd
7. <span style="backgroundcolor: #FFFF00; color: #000000; fontweight: bold"><font color=yellow>1 bowl = $55, 1 plate = $26, 1 candlestick = $19.
Solved with pen and paper. Writing down the conditions as mathematical formulas yields that a bowl can only cost $54, $55 or $ 56 (assuming that the prices have to be whole numbers), a plate can only cost $26 or $27, and a candlestick can only cost $19. Checking the conditions again with these numbers leads to the one solution.</font color=yellow></span hi>

20030531, 12:53 #3
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Re: Crazy 8, cont'd
If only you had some three dimensional graph paper you could have plotted the three inequalities and looked for the area where they overlapped.
StuartR

20030531, 12:58 #4
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Re: Crazy 8, cont'd
#7 <img src=/S/bullseye.gif border=0 alt=bullseye width=45 height=15>
 Ricky

20030531, 13:09 #5
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Re: Crazy 8, cont'd
The Solver in Excel will do this for you (I didn't use it to solve the problem, but it would be very easy to set up)

20030531, 14:07 #6
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Re: Crazy 8, cont'd
5. <span style="backgroundcolor: #FFFF00; color: #000000; fontweight: bold"><font color=yellow>128</font color=yellow></span hi>

20030601, 16:02 #7
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Re: Crazy 8, cont'd
Same here, the hard ones are done with. #6 requires a bit of imagination and #8 is just a harmless word puzzle using a bunch of threeletter words. Hands off the keyboard and sharpen your pencils. <img src=/S/smile.gif border=0 alt=smile width=15 height=15>
 Ricky

20030603, 20:40 #8
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Re: Crazy 8, cont'd
Using the same tool as usual, I have two offerings for the first part of 8
<span style="backgroundcolor: #FFFF00; color: #000000; fontweight: bold"><font color=yellow>gigantic</font color=yellow></span hi> and <span style="backgroundcolor: #FFFF00; color: #000000; fontweight: bold"><font color=yellow>tiger</font color=yellow></span hi><span style="backgroundcolor: #FFFF00; color: #000000; fontweight: bold"><font color=yellow>nut</font color=yellow></span hi>
I guess the hyphenated one doesn't count.
For anyone who has installed TEA and doesn't know the power of it, this was solved by entering
[cglprtwx][ai][ghw][aeiou][bdgnrtxy][dgmnrtwx][bcefhmprstv]
StuartR

20030606, 03:52 #9
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Re: Crazy 8, cont'd
Answer to #6: <span style="backgroundcolor: #FFFF00; color: #000000; fontweight: bold"><font color=yellow>Forever, or until they died from something other then starvation</font color=yellow></span hi>
Logic:
<span style="backgroundcolor: #FFFF00; color: #000000; fontweight: bold"><font color=yellow>To begin with, you have to look for the missing peice to the equation. Obviously 11/8 doesn't equal 10/9. So, the missing piece is (I think), that the grass grows each day. So how do you calculate how much the grass is growing? Let's say x is the number of units the grass grows per day, and y is the number of units that are in the field. A unit represents the amount of grass 1 sheep eats in 1 day.
We can then turn 11 sheep lasting 8 days into: 0=8x + y88 (Where 0 is the end state of the field, 8x represents the growth of the grass for 8 days, y is the original size, and 88 is the number of units 11 sheep eat in 8 days.)
We can then set 10 sheep lasting 9 days to 0=9x+y90 (Everything is the same, except we are changing 9x for 9 days times the growth rate, and 90 is what 10 sheep eat in 9 days.)
Solve for y in the first equation, and we get y=888x. Put that in the last equation and we get:
0=9x+888x90
Which is: 0=x2, thus x=2. Since the field grows 2 units per day, 2 sheep can last forever. Coincidentally, if you go back and solve for y, the field is initailly 72, which is 9 times 8. (The first part says that 11 sheep last 8 days....well 11 sheep 2 growth parts is 9 parts a day...thus 9*8. The second part is 10 sheep for 9 days, so 10 sheep minus 2 growth units is 8, again, 8*9 (just flipped), which is also 72.)
</font color=yellow></span hi>

20030606, 04:08 #10
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Re: Crazy 8, cont'd
Answer to second part of #8. <span style="backgroundcolor: #FFFF00; color: #000000; fontweight: bold"><font color=yellow>monument</font color=yellow></span hi>

20030606, 15:48 #11
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Re: Crazy 8, cont'd
Way to go Drew  Gosh! You explained that better than I could and of course, you are correct. The growth rate would keep two sheep going forever, theoretically. Good job on the 2nd part of Q8, as well. <img src=/S/cheers.gif border=0 alt=cheers width=30 height=16>
 Ricky

20030606, 16:24 #12
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Re: Crazy 8, cont'd
Thanks. Those were fun...needed a break from work.

20030609, 07:04 #13
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Re: Crazy 8, cont'd
TEA??

20030609, 10:40 #14
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Re: Crazy 8, cont'd
As you know, the British panacea for all problems and puzzles is a cup of tea.
See the "cheated" link in Stuart's <post#=260378>post 260378</post#>.

20030614, 15:33 #15
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Re: Crazy 8, cont'd
There is an older DOS (box) version of TEA, which is free:
TEA for DOS
A DOS version of TEA exists, based on a more limited pattern language and dictionary technology: it is still available as freeware, but no longer actively developed:
Download TEA v1.02 for DOS (766 kb)
Alan