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Karla and five other friends jointly buy the chocolatestrawberry-vanilla cake shown in
Chapter 3, Problem 13(choose chapter or problem)
Karla and five other friends jointly buy the chocolatestrawberry-vanilla cake shown in Fig. 19(a) for $30 and plan to divide the cake fairly among themselves. After much discussion, the cake is divided into the six equal-sized slices s1, s2 ,c, s6 shown in Fig. 19(b). Suppose that Karla values strawberry cake twice as much as vanilla cake and chocolate cake three times as much as vanilla cake. (a) Find the dollar value to Karla of each of the slices s1 through s6. (b) Which of the slices s1 through s6 are fair shares to Karla?
Questions & Answers
QUESTION:
Karla and five other friends jointly buy the chocolatestrawberry-vanilla cake shown in Fig. 19(a) for $30 and plan to divide the cake fairly among themselves. After much discussion, the cake is divided into the six equal-sized slices s1, s2 ,c, s6 shown in Fig. 19(b). Suppose that Karla values strawberry cake twice as much as vanilla cake and chocolate cake three times as much as vanilla cake. (a) Find the dollar value to Karla of each of the slices s1 through s6. (b) Which of the slices s1 through s6 are fair shares to Karla?
ANSWER:Step 1 of 3
Total cost of cake =$60
The cake is divided into 6 equal parts
Therefore,
Value of the cake