# Thread: Crazy 8, cont'd

Four more...

2. ## Re: Crazy 8, cont'd

7. <span style="background-color: #FFFF00; color: #000000; font-weight: 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>

3. ## 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

4. ## Re: Crazy 8, cont'd

#7 <img src=/S/bullseye.gif border=0 alt=bullseye width=45 height=15>

5. ## 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)

6. ## Re: Crazy 8, cont'd

5. <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>128</font color=yellow></span hi>

7. ## 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 three-letter words. Hands off the keyboard and sharpen your pencils. <img src=/S/smile.gif border=0 alt=smile width=15 height=15>

8. ## Re: Crazy 8, cont'd

Using the same tool as usual, I have two offerings for the first part of 8
<span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>gigantic</font color=yellow></span hi> and <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>tiger</font color=yellow></span hi>-<span style="background-color: #FFFF00; color: #000000; font-weight: 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

9. ## Re: Crazy 8, cont'd

Answer to #6: <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>Forever, or until they died from something other then starvation</font color=yellow></span hi>

Logic:
<span style="background-color: #FFFF00; color: #000000; font-weight: 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 + y-88 (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+y-90 (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=88-8x. Put that in the last equation and we get:

0=9x+88-8x-90

Which is: 0=x-2, 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>

10. ## Re: Crazy 8, cont'd

Answer to second part of #8. <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>monument</font color=yellow></span hi>

11. ## 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>

12. ## Re: Crazy 8, cont'd

Thanks. Those were fun...needed a break from work.

TEA??

14. ## 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#>.

15. ## 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

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