The Broken Eggs Logic Worksheet With Answer Key - Michael Plasmeier, 2007 Page 6

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Michael Plasmeier
5/17/2007
P.D.:7
3. Solution: 301 eggs were lost in the crash. I now this answer is correct because I tried
to divide 301 by all the numbers and see that there was a remainder of 1. [Fig 9]
Test
2
3
4
5
6
7
301
150 r1
100 r1
75 r1
60 r1
50 r1
43
[Fig 9] 7’s Trial of 301
I was correct. I am now going to try to extend my problem to see if there are more
solutions. I tried 601, (because that was almost double 301.) However, that does not go
into 7. I am going to try to multiply the first 3 in the hundreds place by 7, to get 2101.
Let me try that. That number also does not go into 7. I will now try extending Chart 8,
following the rules on p.4. Eventually I found the number 1141. I don’t see a pattern
between this and 301. I will extend the chart further, to 1561, which is another possible
combo. I think I missed 1. Let me set up a chart analyzing these results. [Fig. 10]
Test
number's
301
Difference
1141
840
1561
420
[Fig 10] Answer’s
Relations
I see that the difference between each answer decreases by ½ each time this must mean
that the next answer is 210 more then 1561 to be 1171. Let me test that. 1771 does not
divide correctly into 4. Therefore that pattern is not correct. I will now sum this up with
nd
the answer to the 2
question; yes there can be more then 1 solution. However, I think
301 is correct, because you can’t spend a lot of time repacking 1561 eggs over and over
again. 301 is also a lot of eggs to repack.
4. Extension: Not necessary to do.
5. Evaluation: Not necessary to do.
POW’s
5/17/2007
Page 6 of 6

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