13. Karla and five other friends jointly buy the chocolate- strawberry-vanilla cake shown in Fig. 3-18(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, ... , S6 shown in Fig. 3-18(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 s through s6 are fair shares to Karla? S6 S5 S2 SA S3 (b) (a) Figure 3-18

13. Karla and five other friends jointly buy the chocolate- strawberry-vanilla cake shown in Fig. 3-18(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, ... , S6 shown in Fig. 3-18(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 s through s6 are fair shares to Karla? S6 S5 S2 SA S3 (b) (a) Figure 3-18

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

92
CHAPTER 3
The Mathematics of Sharing
13. Karla and five other friends jointly buy the chocolate-
strawberry-vanilla cake shown in Fig. 3-18(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,
..., S6 shown in Fig. 3-18(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?
S1
S5
S2
S4
S3
(a)
(b)
Figure 3-18

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