The 2,000 students at College \(Q\) get one week for spring break. Each student takes the opportunity to travel to the

[Gmat_mission]

The 2,000 students at College \(Q\) get one week for spring break. Each student takes the opportunity to travel to the beach, the mountains, or both. If 1,500 students take a trip to the beach and 700 take a trip to the mountains, how many students go to both the beach and the mountains?

A. 200
B. 500
C. 800
D. 1,300
E. 2,200

Answer: A

Source: Princeton Review

[Scott@TargetTestPrep]

The 2,000 students at College \(Q\) get one week for spring break. Each student takes the opportunity to travel to the beach, the mountains, or both. If 1,500 students take a trip to the beach and 700 take a trip to the mountains, how many students go to both the beach and the mountains?

A. 200
B. 500
C. 800
D. 1,300
E. 2,200

Answer: A

Solution:

We can use the formula:

Total = Option 1 + Option 2 - Both + Neither

Since each student is going to either beach (option 1) or mountains (option 2), “Neither” = 0. So, we have:

2,000 = 1,500 + 700 - Both

2,000 = 2,200 - Both

Both = 200

Answer: A