30. Financial Aid to College Students Three sources of financial aid are government grants, private scholarships, and the colleges themselves. Susan, a financial aid director of a private college, surveyed the records of 100 sophomores and found the following: 49 receive government grants 55 receive private scholarships 43 receive aid from the college 23 receive government grants and private scholarships 18 receive government grants and aid from the college 28 receive private scholarships and aid from the college 8 receive help from all three sources. Answer the questions and write the sets using symbols as well. How many of the students in the survey, (a) have government grants only? (b) have scholarships but not government grants? (c) receive financial aid from only one of these sources? (d) receive aid from exactly two of these sources? e) receive no financial aid from any of these sources? (f) receive no aid from the college or the government?

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Chapter1: Functions And Models
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May somone please explain to me the step by step process on why and how you got those answers for each of those questions ? I would appreciate it very much, thank you to whomever helps me with this question.

30. Financial Aid to College Students Three sources of financial aid are government grants, private
scholarships, and the colleges themselves. Susan, a financial aid director of a private college, surveyed the
records of 100 sophomores and found the following:
49 receive government grants
55 receive private scholarships
43 receive aid from the college
23 receive government grants and private scholarships
18 receive government grants and aid from the college
28 receive private scholarships and aid from the college
8 receive help from all three sources.
Answer the questions and write the sets using symbols as well.
How many of the students in the survey,
(a) have government grants only?
(b) have scholarships but not government grants?
(c) receive financial aid from only one of these sources?
(d) receive aid from exactly two of these sources?
e) receive no financial aid from any of these sources?
(f) receive no aid from the college or the government?
Transcribed Image Text:30. Financial Aid to College Students Three sources of financial aid are government grants, private scholarships, and the colleges themselves. Susan, a financial aid director of a private college, surveyed the records of 100 sophomores and found the following: 49 receive government grants 55 receive private scholarships 43 receive aid from the college 23 receive government grants and private scholarships 18 receive government grants and aid from the college 28 receive private scholarships and aid from the college 8 receive help from all three sources. Answer the questions and write the sets using symbols as well. How many of the students in the survey, (a) have government grants only? (b) have scholarships but not government grants? (c) receive financial aid from only one of these sources? (d) receive aid from exactly two of these sources? e) receive no financial aid from any of these sources? (f) receive no aid from the college or the government?
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