A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows: 42 said they drove alone, 28 rode in a carpool, 31 rode public transportation, 9 used both carpools and public transportation, 10 used both a carpool and sometimes their own cars, 6 used public transportation (buses) and also their own cars; and 4 used all three methods. Given this information: How many of the students used NONE of these three types of transportation ? [

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were as follows: 42 said they drove alone, 28 rode in a carpool, 31 rode public transportation, 9 used both carpools and public transportation, 10 used both a carpool and sometimes their own cars, 6 used public transportation (buses) and also their own cars; and 4 used all three methods. Given this information: How many of the students used NONE of these three types of transportation ? [

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Step 1

The event D is defined as student drove alone, event C is defined as student rode in a carpool, event P is defined as student rode public transportation.

There are 42 said they drove alone, 28 rode in a carpool, 31 rode public transportation, 9 used both carpools and public transportation, 10 used both a carpool and sometimes their own cars, 6 used public transportation (buses) and also their own cars; and 4 used all three methods. By using this information then Venn diagram is,

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