Let F be the number of flowers and B be the number of bees. The first condition states that if one bee lands on each flower, one bee is left out, which translates to B = F + 1. The second condition states that if two bees land on each flower, one flower is left out, meaning only F-1 flowers are occupied, which translates to B = 2(F - 1). Equating both expressions for B gives F + 1 = 2F - 2, which simplifies to F = 3. Substituting F = 3 into B = F + 1 gives B = 3 + 1 = 4. Therefore, there are 3 flowers and 4 bees.