MATH HELP PLEASE? EXTRA CREDIT.?

Jeanette - (Paper route) - (Green)

Theodora - (Delivery person) - (White)

Saralee - (Cook) - (Blue)

Marcia - (Carpenter's Apprentice) - (Ivory)

Set up a grid like this and eliminate options as you discover facts

Jeanette - (carpenter, cook, delivery, paper route) - (blue green ivory white)

Theodora - (carpenter, cook, delivery, paper route) - (blue green ivory white)

Saralee - (carpenter, cook, delivery, paper route) - (blue green ivory white)

Marcia - (carpenter, cook, delivery, paper route) - (blue green ivory white)

Clue 1 - Theodora is not the paper route or the blue telephone - delete from Theodora's options

Clue 2 - Saralee not carpenter's apprentice, white telephone or green telephone

Clue 3 - Jeanette not cook, Marcia not delivery person

Clue 4 - Theodora not ivory telephone

Clue 6 - Marcia not paper route

The grid now looks like this

Jeanette - (carpenter, delivery, paper route) - (blue green ivory white)

Theodora - (carpenter, cook, delivery) - (green white)

Saralee - (cook, delivery, paper route) - (blue ivory)

Marcia - (carpenter, cook) - (blue green ivory white)

Note from clue 2 that two girls live on a street two streets away from the other two girls. Therefore you cannot have a situation that three girls live in a row of three consecutive houses. Therefore from Clue 3Marcia cannot be the cook as she lives two doors from someone whilst the cook only lives one door from Jeanette. As we delete Cook from Marcia's options this only leaves CARPENTER'S APPRENTICE for Marcia. This means from Clue 2 that Marcia is not the green or white telephones.

From Clue 3 Jeannette is not the dilivery person as she cannot live 2 doors from Marcia - therefore Jeanette is the PAPER ROUTE (last option). From Clue 1 Jeannette can now no longer be the blue phone

Marcia (carpenter's apprentice) lives on the same street as the white telephone (Clue 2), but but as Jeanette lives in the other street as she can't live next door to Marcia (clue 4) it means that Jeanette is not the white phone. Once you delete this option the only girl left that can be the WHITE phone is Theodora. This means from Clue 5 that Theodora (white) is not the cook and must be the DELIVERY PERSON

This means in turn that Saralee must be the COOK

The only girl that can be the GREEN phone is JEANETTE (last option)

Clue 4 Ivory telephone on same street as Theodora (Delivery person) From clue 3 Marcia lives on this street. Therefore Marcia is the IVORY telephone and Saralee is therefore BLUE

Final Solution

Jeanette - (Paper route) - (Green)

Theodora - (Delivery person) - (White)

Saralee - (Cook) - (Blue)

Marcia - (Carpenter's Apprentice) - (Ivory)

Alright, there are three eight hour shifts throughout the day and no elf is allowed to work more than one shift. If there are 9,000 elves working at the same time, this means they are all part of the same shift, correct? If this is true than those 9,000 elves can't work again for the rest of the day because they are only required one shift. So if there are three shifts and 9,000 are always working at the same time, you would mulitply 9,000 by 3 to get the total number of elves working each day: 27,000 elves. Now if each elf needs cookies during his break, you just multiply 27,000 by 2: 54,000 cookies. So final answers: 27,000 individual elves work every day. 54,000 cookies are needed each day