Five teams – A, B, C, D and E – each consisting of 15 members, are going on expeditions to five different locations. Each team includes members from three different skill sets: biologists, geologists, and explorers. However, the number of members from each skill set varies by team and each member has only one specialty. The total number of biologists, geologists, and explorers are equal.
The following additional information is available:
- Every team has at least 2 members from each of the three skill sets.
- Team C and D have 6 biologists each, and Team A has 6 geologists.
- Every team except A has more biologists than explorers.
- The number of explorers in each team is distinct and decreases in the order A, B, C, D and E.
The number of biologists in team E is ____________.
Reveal answer
Correct answer
4Reveal solution
Explorers must be 5 distinct decreasing numbers summing to 25: for A, B, C, D, E.
Biologists total 25; C + D = 12, so A + B + E = 13. With B > 6 and E > 3 (more biologists than explorers), and A as low as 2, we get B = 7, E = 4.