| From the introduction, the five customers bought a total of 8,000 shares of
stock, with no two buying the same number; the orders were placed at 9:30,
9:35, 9:40, 9:45, and 9:50. By clue 5, the Google order was placed at
9:50. By clue 1, the Amazon buyer purchased twice as many shares as the
customer who placed the order 10 mins. before the Amazon one, which was
then placed at 9:40 or 9:45. If it had been placed at 9:45 for twice
as many shares as the 9:35 order, by clue 6, the Amazon and Intel orders
would have been for the same number of shares, a conflict with the
introduction. So, the Amazon order came in at 9:40. By clue 4, Mrs.
Knotts' order was for twice as many shares as the order filled 5 mins.
after hers. Mrs. Knotts couldn't have placed the 9:30 order or she
would have bought Intel (clue 6), which she did not (4). Mrs. Knotts
also didn't buy Amazon, since by clues 1 and 4 the 9:30 and 9:45 orders
would have been for the same number of shares. Mrs. Knotts' order came
at 9:35 or 9:45. If it were the 9:35 buy, then the 9:30 order would
have been for X shares, the Amazon order for 2X (1), Mrs. Knotts' order
for 4X (4), and the Intel order at 9:45 for 8X. By clue 7, the Dell
buy of 500 shares was the least number of shares purchased; so the
Dell order would have been at 9:30 for 500 shares, the Amazon purchase
1,000 shares, Mrs. Knotts' buy 2,000 shares, and the Intel buy 4,000
shares--a total of 7,500 shares, leaving the Google buy at 500 (8,000
in the introduction minus 7,500) and conflicting with the 500 share
buy of Dell. So, Mrs. Knotts didn't place the 9:35 order; she placed
her order at 9:45. Since she didn't buy Intel (4), by clue 6, the
Intel order came in first. Since Mrs. Knotts' order wasn't for the
fewest number of shares (4), she didn't buy Dell (7); she bought Microsoft,
with the order for 500 shares of Dell placed at 9:35. Then the Intel
buy was 1,000 shares (6) and the Amazon buy 2,000 (1). This totals
3,500 shares, leaving 4,500 for Mrs. Knotts' Microsoft and the Google
purchases. By clue 4, the Google purchase was X shares and the Microsoft
2X, so that 3X = 4,500 and X = 1,500. 1,500 shares of Google and 3,000
of Microsoft were bought. By clue 3, Mr. Burger placed the 9:30 order
and Mr. Childs the 9:35 one. Mrs. Smith placed the order for Amazon
shares at 9:45 (2), and Mr. Woodson bought Google at 9:50. In sum, the
buy orders were executed as follows:
- 9:30 - Mr. Burger, 1,000 shares of Intel
- 9:35 - Mr. Childs, 500 shares of Dell
- 9:40 - Mrs. Smith, 2,000 shares of Amazon
- 9:45 - Mrs. Knotts, 3,000 shares of Microsoft
- 9:50 - Mr. Woodson, 1,500 shares of Google
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