Concept explainers
Exercises 33 and 34 refer to the following situation: Jackie, Karla, and Lori are planning to divide the half vegetarian—half meatball foot-long sub sandwich shown in Fig. 3-22 among themselves using the lone- divider method. Jackie likes the meatball and vegetarian parts equally well; Karla is a strict vegetarian and does not eat meat at all; Lori likes the meatball part twice as much as the vegetarian part. (Assume that when the sandwich is cut, the cuts are always made perpendicular to the length of the sandwich. You can describe different shares of the sandwich using the ruler and interval notation—for example,
Figure 3-22
Suppose that Jackie is the divider.
a. Describe how Jackie should cut the sandwich into three shares. Label the three shares
b. Which of the three shares are fair shares to Karla?
c. Which of the three shares are fair shares to Lori?
d. Find three different fair divisions of the sandwich.
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