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To: tech who wrote (1523)12/10/1997 5:28:00 PM
From: Hoatzin  Read Replies (1) | Respond to of 3391
 
*** COOKIES?
Jeff: 0 CC, 1 Plain
Bob: 6 CC, 0 Plain
TED: 2 CC, 1 Plain
Kevin: 3 CC, 1 Plain
Joseph: 4 CC, 0 Plain



To: tech who wrote (1523)12/10/1997 5:33:00 PM
From: Thomas J. Graf  Read Replies (2) | Respond to of 3391
 
Thread lurker here - forgive the intrusion and enjoying the insights...

TED 1 p 2 cc
Jeff 1 p
Joe 1 p 7 cc
Kevin 8 cc
Bob -2 cc

Hmmm, what did I do wrong here...

Jeff, Bob, TED, Kevin, and Joseph baked a batch of 36 cookies,
two thirds (24) of which were chocolate chip. The rest were plain.
(12)They each ate some right away. The cookies were so delicious,
only one-and-a-half (18) dozen are left, of which half (9) are plain (9 c.c.).
(15 c.c. eaten/3 plain eaten)

Jeff is allergic to chocolate. (he had at least one plain per tech)

TED ate twice as many chocolate chip cookies as plain cookies.
(because of below logic only had 1 p. since we know Jeff had a cookie and is allergic to c.c. and Kevin had to have one so TED
had 1 p. and 2 c.c.)

Joseph and Kevin each ate as many cookies as TED and Jeff
combined. (They each had 8 cookies (1p + 2cc + 1p) * 2

Joseph ate more chocolate chip cookies than Kevin.
(But the ate the same amount so Kevin had more p than Joseph (i.e. at least 1, which leaves only 1 for Jeff who we know had something)

If all the cookies were eaten by the bakers themselves, how many
cookies of each kind did each person eat?