Since I love Venn Diagrams, I am going to use one to solve this. (Hussain15 - Bear with me :D)
Here's a Venn Diagram of the situation where I've represented unknown quantities with variables a, b, c, x, y, and z respectively.
Attachment:
File comment: Venn Diagram
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To find: \(a+b+c\)
Given Information: Total\(= a+b+c+x+y+z+p+2p = 60\)
\(a+b+c+x+y+z = 60 - 3p\) (1)
Total soccer = a + x + y + p = 6p
\(x+y = 5p - a\) (2)
Total tennis\(= b + x + z + p = 11 p\)
\(x+z = 10p - b\) (3)
Total golf \(= c + y + z + p = 8p\)
\(y+z = 7p - c\) (4)
Adding (2), (3) and (4) and substituting into (1) we get:
\(22p - 2(x+y+z) = (a+b+c)\)
\(22p - 2(x+y+z) + (x+y+z) = 60 - 3p\)
\((x+y+z) = 25p - 60\)
\((a+b+c) = 22p - 25p + 60 = 60 - 3p\)
Statement 1: \(y = \frac{(x+z)}{2}\)
Insufficient, because this doesn't tell us anything.
Statement 2p = 3
Substituting p = 3 in the equation obtained for (a+b+c) we get a numeric answer. Hence sufficient. So, the answer is B.
Hope this helps.