3) In a group of 118 people, some are wearing coat, boots or muffler (or a combination of all these), 8 are wearing all three, 14 are wearing just a coat and boots, 6 are wearing just boots and a muffler and 18 are wearing just a coat and muffler. The number wearing only a coat or only boots is x, and the number wearing only a muffler or none of the three items is (x-4). Find x and hence the number of people wearing a coat?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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3) In a group of 118 people, some are wearing coat, boots or muffler (or a combination of all these), 8
are wearing all three, 14 are wearing just a coat and boots, 6 are wearing just boots and a muffler and
18 are wearing just a coat and muffler. The number wearing only a coat or only boots is x, and the
number wearing only a muffler or none of the three items is (x-4). Find x and hence the number of
people wearing a coat?
Transcribed Image Text:3) In a group of 118 people, some are wearing coat, boots or muffler (or a combination of all these), 8 are wearing all three, 14 are wearing just a coat and boots, 6 are wearing just boots and a muffler and 18 are wearing just a coat and muffler. The number wearing only a coat or only boots is x, and the number wearing only a muffler or none of the three items is (x-4). Find x and hence the number of people wearing a coat?
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