Of the 4800 students at Medium Suburban College (MSC), 50 play collegiate soccer, 60 play collegiate lacrosse, and 96 play collegiate football. Only 6 students play both collegiate soccer and lacrosse, 6 play collegiate soccer and football, and 16 play collegiate lacrosse and football. No students play all three sports.

(a) Solve the Venn diagram.
x = 1Your answer is correct.
y = 2Your answer is correct.
z = 3Your answer is correct.
u = 4Your answer is correct.
v = 5Your answer is correct.
w = 6Your answer is correct.
t = 7Your answer is correct.

(b) Complete the following sentence: 8Your answer is incorrect.% of the college soccer players also play one of the other two sports at the collegiate level.

according to my Venn diagram, of the 50 soccer players 12 play one of the other sports.

I got the fist part but cant figure out how to get the percentage

% of the college soccer players also play one of the other two sports at the collegiate level.

figured it out thanks for the help its 24 percent

is there any way you could give me the answer to check if mine are corect

To solve the Venn diagram and find the percentage of college soccer players who play one of the other two sports at the collegiate level, we need to break down the given information.

Let's denote the following:
x = the number of students who only play collegiate soccer
y = the number of students who only play collegiate lacrosse
z = the number of students who only play collegiate football
u = the number of students who play both collegiate soccer and lacrosse
v = the number of students who play both collegiate soccer and football
w = the number of students who play both collegiate lacrosse and football
t = the number of students who play all three sports (which is given as zero, so t = 0)

According to the given information:
50 students play collegiate soccer (x + u + v)
60 students play collegiate lacrosse (y + u + w)
96 students play collegiate football (z + v + w)
6 students play both collegiate soccer and lacrosse (u)
6 students play both collegiate soccer and football (v)
16 students play both collegiate lacrosse and football (w)
0 students play all three sports (t)

To solve the Venn diagram, we can start by filling in the overlaps in the diagram using the given information.

Based on the given information:
- x + u + v = 50 (from the total number of soccer players)
- y + u + w = 60 (from the total number of lacrosse players)
- z + v + w = 96 (from the total number of football players)
- u = 6 (from the number of students playing both soccer and lacrosse)
- v = 6 (from the number of students playing both soccer and football)
- w = 16 (from the number of students playing both lacrosse and football)
- t = 0 (from the number of students playing all three sports)

Now we can solve for the individual values:
From x + u + v = 50, we can substitute the values of u and v:
x + 6 + 6 = 50
x + 12 = 50
x = 38

From y + u + w = 60, we can substitute the values of u and w:
y + 6 + 16 = 60
y + 22 = 60
y = 38

From z + v + w = 96, we can substitute the values of v and w:
z + 6 + 16 = 96
z + 22 = 96
z = 74

So we have now determined the individual values:
x = 38 (students who only play collegiate soccer)
y = 38 (students who only play collegiate lacrosse)
z = 74 (students who only play collegiate football)
u = 6 (students who play both collegiate soccer and lacrosse)
v = 6 (students who play both collegiate soccer and football)
w = 16 (students who play both collegiate lacrosse and football)
t = 0 (students who play all three sports)

Now let's calculate the percentage of college soccer players who play one of the other two sports at the collegiate level.

Total college soccer players = x + u + v = 38 + 6 + 6 = 50

Number of college soccer players playing one of the other two sports = u + v = 6 + 6 = 12

Percentage = (Number of college soccer players playing one of the other two sports / Total college soccer players) * 100
Percentage = (12 / 50) * 100 = 24%

Therefore, the correct completion of the sentence is: 24% of the college soccer players also play one of the other two sports at the collegiate level.