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 s 1 , s , ... , s 6 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. F i g u r e 3 − 1 8 a. Find the dollar value to Karla of each of the slices s 1 through s 6 . b. Which of the slices s 1 through s 6 are fair shares to Karla?
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 s 1 , s , ... , s 6 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. F i g u r e 3 − 1 8 a. Find the dollar value to Karla of each of the slices s 1 through s 6 . b. Which of the slices s 1 through s 6 are fair shares to Karla?
Solution Summary: The author explains how Jackie should cut the sandwich into three shares using the lone-divider method.
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
s
1
,
s
,
...
,
s
6
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.
F
i
g
u
r
e
3
−
1
8
a. Find the dollar value to Karla of each of the slices
s
1
through
s
6
.
b. Which of the slices
s
1
through
s
6
are fair shares to Karla?
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