4) In a survey of Senior High School students, 64 had like academic track, 45 had like sports track, 78 had like TVL, 30 had like academic and sport, 26 had like academic track and TVL, 23 had like sports and TVL and 12 had like all the three tracks. Find how many had like one course only. 5) The school discovered that 112 of its 190 students watch television, 113 listens to the radio, and 150 use mobile phones. In addition, 75 people use television and mobile phones, 95 people use television and radio, 85 people use radio and mobile phones, and 70 people use all three. How many people solely used their phones? How many people utilized television and radio instead of mobile phones?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please help me answer 4 and 5 with complete solution

Solve the following problems involving operation on sets. Write the sohution in separate answer
sheet.
1) In Grade 7-Silang there are 60 students, 25 students like Math class and 47 students like English
class. Find the mumber of students who both like Math and English class.
2) In a group of 100 persons, 62 people can speak Visaya and 53 can speak Tagalog. How many can
speak both Visaya and Tagalog dialect?
3) In MAPEH competition, 90 medals are awarded in different categories: medals in sports, medals
in arts, medals in music and medals in music, art, and sports.
33 got medals in arts
45 got medals in sports
55 got medals in music
4 got medals in art, music and sports
How many got medals in music only? How many got medals in art only? How many got medals
in sports only?
12 got medals in music and arts
18 got medals in sports and nusic
17 got medals in arts and sports
4) In a survey of Senior High School students, 64 had like academic track, 45 had like sports track,
78 had like TVL, 30 had like academic and sport, 26 had like academic track and TVL, 23 had like
sports and TVL and 12 had like all the three tracks. Find how many had like one course only.
5) The school discovered that 112 of its 190 students watch television, 113 listens to the radio, and
150 use mobile phones. In addition, 7S people use television and mobile phones, 95 people use
television and radio, 85 people use radio and mobile phones, and 70 people use all three. How
many people solely used their phones? How many people utilized television and radio instead of
mobile phones?
Transcribed Image Text:Solve the following problems involving operation on sets. Write the sohution in separate answer sheet. 1) In Grade 7-Silang there are 60 students, 25 students like Math class and 47 students like English class. Find the mumber of students who both like Math and English class. 2) In a group of 100 persons, 62 people can speak Visaya and 53 can speak Tagalog. How many can speak both Visaya and Tagalog dialect? 3) In MAPEH competition, 90 medals are awarded in different categories: medals in sports, medals in arts, medals in music and medals in music, art, and sports. 33 got medals in arts 45 got medals in sports 55 got medals in music 4 got medals in art, music and sports How many got medals in music only? How many got medals in art only? How many got medals in sports only? 12 got medals in music and arts 18 got medals in sports and nusic 17 got medals in arts and sports 4) In a survey of Senior High School students, 64 had like academic track, 45 had like sports track, 78 had like TVL, 30 had like academic and sport, 26 had like academic track and TVL, 23 had like sports and TVL and 12 had like all the three tracks. Find how many had like one course only. 5) The school discovered that 112 of its 190 students watch television, 113 listens to the radio, and 150 use mobile phones. In addition, 7S people use television and mobile phones, 95 people use television and radio, 85 people use radio and mobile phones, and 70 people use all three. How many people solely used their phones? How many people utilized television and radio instead of mobile phones?
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