In a group of 5-85 students, 35 people play basketball, 42 people play football and 26 people play tennis. The number of people who only play basketball and football is twice that of those who only play tennis and basketball. The number of people who only play tennis and football is three times that of basketball and tennis alone. 5 people play all three. 4 people do not play any of these games. So how many students are there who only play tennis? A) 17 B) 13 C) 7 D) 5 E) 9

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 35E
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In a group of 5-85 students, 35 people play basketball, 42 people play football and 26 people play tennis. The number of people who only play basketball and football is twice that of those who only play tennis and basketball. The number of people who only play tennis and football is three times that of basketball and tennis alone. 5 people play all three. 4 people do not play any of these games. So how many students are there who only play tennis?
A) 17


B) 13


C) 7


D) 5


E) 9

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