five friends get together to have a thanksgiving dinner. roger, ted, tom, pam, and donna brought (in no particular order) turkey, salad, dressing, peas, and potatoes. each item was brought on a different colored plate (no particular order) white, purple, black, green, and pink.
- no food begins with the same letter as the name of the person who brought it
- the dressing was not brought by tom or pam
- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter
- neither rogers plate nor teds plate was purple and the peas were also not brought on the purple plate
- toms food and the food on the pink plate are not peas or potatoes
- donna did not bring the black plate

try to determine the kind of food each person brought and what color plate it was on

Question

12-11-2021
Mathematics

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five friends get together to have a thanksgiving dinner. roger, ted, tom, pam, and donna brought (in no particular order) turkey, salad, dressing, peas, and potatoes. each item was brought on a different colored plate (no particular order) white, purple, black, green, and pink.
- no food begins with the same letter as the name of the person who brought it
- the dressing was not brought by tom or pam
- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter
- neither rogers plate nor teds plate was purple and the peas were also not brought on the purple plate
- toms food and the food on the pink plate are not peas or potatoes
- donna did not bring the black plate

try to determine the kind of food each person brought and what color plate it was on

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francocanacari francocanacari · Answer 1 · 2021-11-22T17:23:15+01:00

Pam carried turkey on a black plate, Tom carried salad on a purple plate, Roger carried dressing on a pink plate, Donna carried peas on a white plate, and Ted carried potatoes on a green plate.

To determine the kind of food each person brought and what color plate it was on, the following reasoning must be performed:

- no food begins with the same letter as the name of the person who brought it

Turkey = Roger, Pam or Donna
Salad = Roger, Ted, Tom, Pam or Donna
Dressing = Roger, Ted, Tom or Pam
Peas = Roger, Ted, Tom or Donna
Potatoes = Roger, Ted, Tom or Donna
Green plate = Roger, Ted, Tom, Pam or Donna
Purple plate = Roger, Ted, Tom, Pam or Donna
White plate = Roger, Ted, Tom, Pam or Donna
Black plate = Roger, Ted, Tom, Pam or Donna
Pink plate = Roger, Ted, Tom, Pam or Donna

- the dressing was not brought by Tom or Pam

Turkey = Roger, Pam or Donna
Salad = Roger, Ted, Tom, Pam or Donna
Dressing = Roger or Ted
Peas = Roger, Ted, Tom or Donna
Potatoes = Roger, Ted, Tom or Donna
Green plate = Roger, Ted, Tom, Pam or Donna
Purple plate = Roger, Ted, Tom, Pam or Donna
White plate = Roger, Ted, Tom, Pam or Donna
Black plate = Roger, Ted, Tom, Pam or Donna
Pink plate = Roger, Ted, Tom, Pam or Donna

- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter

Turkey = Roger, Pam or Donna
Salad = Roger, Ted, Tom, Pam or Donna
Dressing = Roger or Ted
Peas = Roger, Ted, Tom or Donna
Potatoes = Ted or Tom
Green plate = Ted or Tom
Purple plate = Roger, Ted, Tom, Pam or Donna
White plate = Roger, Ted, Tom, Pam or Donna
Black plate = Roger, Ted, Tom, Pam or Donna
Pink plate = Roger, Ted, Tom, Pam or Donna

- neither Roger's plate nor Ted's plate was purple and the peas were also not brought on the purple plate

Turkey = Roger, Pam or Donna
Salad = Roger, Ted, Tom, Pam or Donna
Dressing = Roger or Ted
Peas = Roger, Ted, Tom or Donna
Potatoes = Ted or Tom
Green plate = Ted or Tom
Purple plate = Tom or Donna
White plate = Roger, Ted, Tom, Pam or Donna
Black plate = Roger, Ted, Tom, Pam or Donna
Pink plate = Roger, Ted, Tom, Pam or Donna

- Tom's food and the food on the pink plate are not peas or potatoes

Turkey = Pam
Salad = Tom
Dressing = Roger
Peas = Donna
Potatoes = Ted
Green plate = Ted or Tom
Purple plate = Tom or Donna
White plate = Roger, Ted, Tom, Pam or Donna
Black plate = Roger, Ted, Tom, Pam or Donna
Pink plate = Roger or Pam

- Donna did not bring the black plate

Turkey = Pam
Salad = Tom
Dressing = Roger
Peas = Donna
Potatoes = Ted
Green plate = Ted or Tom
Purple plate = Tom or Donna
White plate = Roger, Ted, Tom, Pam or Donna
Black plate = Roger, Ted, Tom or Pam
Pink plate = Roger or Pam

- the person who brought the potatoes and the person who brought the green plate both have names that begin with the same letter

Turkey = Pam
Salad = Tom
Dressing = Roger
Peas = Donna
Potatoes = Ted
Green plate = Ted
Purple plate = Tom or Donna
White plate = Roger, Tom, Pam or Donna
Black plate = Roger, Tom or Pam
Pink plate = Roger or Pam

- neither Roger's plate nor Ted's plate was purple and the peas were also not brought on the purple plate

Turkey = Pam
Salad = Tom
Dressing = Roger
Peas = Donna
Potatoes = Ted
Green plate = Ted
Purple plate = Tom
White plate = Roger, Pam or Donna
Black plate = Roger or Pam
Pink plate = Roger or Pam

- Tom's food and the food on the pink plate are not peas or potatoes

Turkey = Pam
Salad = Tom
Dressing = Roger
Peas = Donna
Potatoes = Ted
Green plate = Ted
Purple plate = Tom
White plate = Donna
Black plate = Pam
Pink plate = Roger

Therefore, Pam carried turkey on a black plate, Tom carried salad on a purple plate, Roger carried dressing on a pink plate, Donna carried peas on a white plate, and Ted carried potatoes on a green plate.

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