Anakin and Luke are given a pizza that costs $36 and is cut into 10 slices. Three slices are anchovies, three slices are sausage, and four slices are beef.What is a fair share for each person? Anakin likes beef twice as much as anchovies, and he likes sausage three times as much as anchovies.Luke does not eat beef. He likes anchovies four times as much as sausage. Determine how much each slice is worth to each person.AnakinAnchovies Sausage Beef LukeAnchovies Sausage Beef If Anakin is the divider, how would they divide the pizza into two piles?Pile 1Pile 2 Anchovies Sausage Beef Anchovies Sausage BeefCheck that both piles are equal in value in Anakin's eyes.Anakin's value of Pile 1 Anakin's value of Pile 2 Decide which pile Luke would choose.Luke's value of Pile 1 Luke's value of Pile 2 Luke would choose

Answered: Check that both piles are equal in…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Related questions

Question

Anakin and Luke are given a pizza that costs $36 and is cut into 10 slices. Three slices are anchovies, three slices are sausage, and four slices are beef.

What is a fair share for each person?

Anakin likes beef twice as much as anchovies, and he likes sausage three times as much as anchovies.

Luke does not eat beef. He likes anchovies four times as much as sausage.

Determine how much each slice is worth to each person.

Anakin

Anchovies

Sausage

Beef

Luke

Anchovies

Sausage

Beef

If Anakin is the divider, how would they divide the pizza into two piles?

Pile 1 Pile 2

      Anchovies

      Sausage

       Beef

      Anchovies

      Sausage

       Beef
1. Decide which pile Luke would choose.
  
  Luke's value of Pile 1
  
  Luke's value of Pile 2
  
  Luke would choose

Pile 1	Pile 2
Anchovies Sausage Beef	Anchovies Sausage Beef

Expert Solution

Step 1: solution

1)What is a fair share for each person?

The pizza costs $36 and is cut into 10 slices, so each slice is worth $fraction numerator $ 36 over denominator 10 end fraction equals $ 3.60$ .

Determine how much each slice is worth to each person:

Anakin:

Anakin likes beef twice as much as anchovies, so beef is worth $2 space cross times space $ 3.60 space equals space $ 7.20$ .
He likes sausage three times as much as anchovies, so sausage is worth $3 space cross times space $ 3.60 space equals space $ 10.80$ .
Anchovies are worth $$ 3.60$ to him (standard value).

Luke:

Luke likes anchovies four times as much as sausage, so anchovies are worth $4 space cross times space $ 3.60 space equals space $ 14.40$ .
Sausage is worth $$ 3.60$ to him (standard value).
Since Luke does not eat beef, its value to him is $$ 0$ .