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=>

Let S, T and B be numbers of members in the soccer club, the tennis club and the basketball club, respectively.
Since S:T = 2:3 = 8:12 and T:B = 4:5 = 12:15, we have S:T:B = 8:12:15.
Let S = 8k, T = 12k and B = 15k.
Then S + T + B = 8k + 12k + 15k = 35k = 350,
and k = 10.
The number of members of the soccer club is
S = 8k = 80.

Therefore, the answer is A.
Answer: A
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MathRevolution
[GMAT math practice question]

A college has a soccer club, a tennis club and a basketball club. Students can enroll in only one of these three clubs. The ratio of the number of soccer club members to the number of tennis club members is 2:3. The ratio of the number of tennis club members to the number of basketball club members is 4:5. A total of 350 students have joined one of these three clubs. How many students are enrolled in the soccer club?

A. 80
B. 90
C. 100
D.120
E. 150

We have the following ratios:

soccer : tennis = 2 : 3

soccer : tennis = 8 : 12

and

tennis : basketball = 4 : 5

tennis : basketball = 12 : 15

Thus,

soccer : tennis : basketball = 8x : 12x : 15x

So we have:

8x + 12x + 15x = 350

35x = 350

x = 10

So 8(10) = 80 students joined the soccer club.

Answer: A
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