(b) $2 (a) $2 30° (c) Questions b. Is the cut shown in Fig. 3 - 21 (c) a possible 50-50 cut that David might have made as the divider? If so, describe the share Paula should choose and give the value (as a percent) of that share to Paula. If the cut is not a 50-50 cut, give the values of the two shares to David. c. Is the cut shown in Fig. 3 - 21 (d) a possible 50-50 cut that David might have made as the divider? If so, describe the share Paula should choose and give the value (as a percent) of that share to Paula. If the cut is not a 50-50 cut, give the values of the two shares to David. Solution for B For David the dollar value of s₁ will be $1 for strawberry cake and $x for chocolate cake, the total value of $1 is $+$(z) = Sz That is, 40% of the total For David the dollar value of $2 will be $x for vanilla cake and $x for chocolate cake, the total value of $2 is $x+8(a) = $1.5z That is 60% of the total. It is not a 50 - 50 cut.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter5: Division Of Common Fractions And Mixed Numbers
Section: Chapter Questions
Problem 22A: A single-threaded (or single-start) square-thread screw is shown in Figure 5-6. The lead of a screw...
Question

I'm trying to figure out the solution to the attached question. For B and C they get a percentage of 60% and 40% but it isn't clear how they got those solutions/percentages.

Attached an image with the Figures and the solution that was given for B. Thanks!

 

(b)
$2
(a)
$2
30°
(c)
Questions
b. Is the cut shown in Fig. 3 - 21 (c) a possible 50-50 cut that David might have made as the divider? If so, describe
the share Paula should choose and give the value (as a percent) of that share to Paula. If the cut is not a 50-50 cut, give
the values of the two shares to David.
c. Is the cut shown in Fig. 3 - 21 (d) a possible 50-50 cut that David might have made as the divider? If so, describe
the share Paula should choose and give the value (as a percent) of that share to Paula. If the cut is not a 50-50 cut, give
the values of the two shares to David.
Solution for B
For David the dollar value of s₁ will be $1 for strawberry cake and $x for chocolate cake, the total value of $1 is
$+$(z) = Sz
That is, 40% of the total
For David the dollar value of $2 will be $x for vanilla cake and $x for chocolate cake, the total value of $2 is
$x+8(a) = $1.5z
That is 60% of the total.
It is not a 50 - 50 cut.
Transcribed Image Text:(b) $2 (a) $2 30° (c) Questions b. Is the cut shown in Fig. 3 - 21 (c) a possible 50-50 cut that David might have made as the divider? If so, describe the share Paula should choose and give the value (as a percent) of that share to Paula. If the cut is not a 50-50 cut, give the values of the two shares to David. c. Is the cut shown in Fig. 3 - 21 (d) a possible 50-50 cut that David might have made as the divider? If so, describe the share Paula should choose and give the value (as a percent) of that share to Paula. If the cut is not a 50-50 cut, give the values of the two shares to David. Solution for B For David the dollar value of s₁ will be $1 for strawberry cake and $x for chocolate cake, the total value of $1 is $+$(z) = Sz That is, 40% of the total For David the dollar value of $2 will be $x for vanilla cake and $x for chocolate cake, the total value of $2 is $x+8(a) = $1.5z That is 60% of the total. It is not a 50 - 50 cut.
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