The kindergartners and first and second graders were talking about their favorite field trips during the school year. One of the teachers, Ms. Brewer, turned the discussion into a math lesson, and the students conducted a survey. Each child wrote down on paper which trip was his or her favorite. (Note that many children named more than one field trip as their favorite.) The survey revealed that 55 wrote down the trip to the river, 48 indicated the trip to the police station, and 38 included the trip to the hardware store. The police station and the river were chosen on 32 papers, 26 papers included both the river and the hardware store, and 22 children wrote down the police station and the hardware store on their papers. Ms. Burke counted 17 papers that included all three and one that did not list any of the three trips. How many children were surveyed? How many children wrote down the river but not the police station? How many children did not list the hardware store?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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The kindergartners and first and second graders were talking about their favorite field trips during the school year. One of the teachers, Ms. Brewer, turned the discussion into a math lesson, and the students conducted a survey. Each child wrote down on paper which trip was his or her favorite. (Note that many children named more than one field trip as their favorite.) The survey revealed that 55 wrote down the trip to the river, 48 indicated the trip to the police station, and 38 included the trip to the hardware store. The police station and the river were chosen on 32 papers, 26 papers included both the river and the hardware store, and 22 children wrote down the police station and the hardware store on their papers. Ms. Burke counted 17 papers that included all three and one that did not list any of the three trips. How many children were surveyed? How many children wrote down the river but not the police station? How many children did not list the hardware store?   

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