Part A
"A school did a survey among 100 students" means we have 100 people total, so I = 100 which goes in the lower right hand corner of the table. This is the grand total.
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"out of 77 people who liked football, 48 also liked baseball". So this means C = 77 and A = 48. Because of this, we know...
A+B = C
48+B = 77
B = 77-48
B = 29
Therefore 29 people like football, but do not like baseball.
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"There were 65 people who liked baseball" means G = 65 which is the total for the "baseball" row.
Use A = 48 and G = 65 to find the value of D
A+D = G
48+D = 65
D = 65-48
D = 17
We have 17 people who like baseball but do not like football.
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If G = 65 and I = 100, then H = I-G = 100-65 = 35
Similarly, if B = 29 and H = 35, then E = H-B = 35-29 = 6
Finally, F = D+E = 17+6 = 23
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Summary:
A = 48
B = 29
C = 77
D = 17
E = 6
F = 23
G = 65
H = 35
I = 100
The table is attached to show how it looks when you replace all the letters with their proper values.
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Part B
Focus on E = 6 which represents 6 people who do not like either sport. This is out of 100 total people. So 6/100 = 0.06 = 6% is the percentage who dislike either sport.
Answer: 6%
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Part C
H = 35 people do not like baseball
F = 23 people do not like football
Answer: There is a greater dislike for baseball.
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