My cousin Pat was also at the party. Pat brought a collection of 36 dolls. She gave us some clues about the dolls: "Some of them are Barbies; in fact, half of the female dolls are Barbies. Half of the Cabbage Patch dolls are female. There are as many females that are not Barbies or Cabbage Patch dolls as there are Cabbage Patch dolls. Half of the dolls are not female. All of the dolls except two (which I found at a garage sale and whose gender I found it impossible to determine) are either male or female. One of those two genderless dolls is a Cabbage Patch doll." How many male, non-Cabbage Patch dolls are there?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Convert the following question into an algebra statement and solve it using algebra.

REAL DOLLS
My cousin Pat was also at the party. Pat brought a collection of
36 dolls. She gave us some clues about the dolls: "Some of them
are Barbies; in fact, half of the female dolls are Barbies. Half of the
Cabbage Patch dolls are female. There are as many females that are
not Barbies or Cabbage Patch dolls as there are Cabbage Patch dolls.
Half of the dolls are not female. All of the dolls except two (which
I found at a garage sale and whose gender I found it impossible to
determine) are either male or female. One of those two genderless
dolls is a Cabbage Patch doll." How many male, non-Cabbage Patch
dolls are there?
To
Transcribed Image Text:REAL DOLLS My cousin Pat was also at the party. Pat brought a collection of 36 dolls. She gave us some clues about the dolls: "Some of them are Barbies; in fact, half of the female dolls are Barbies. Half of the Cabbage Patch dolls are female. There are as many females that are not Barbies or Cabbage Patch dolls as there are Cabbage Patch dolls. Half of the dolls are not female. All of the dolls except two (which I found at a garage sale and whose gender I found it impossible to determine) are either male or female. One of those two genderless dolls is a Cabbage Patch doll." How many male, non-Cabbage Patch dolls are there? To
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