There are some nectar-filled flowers on a tree and some bees are hovering on it. If one bee lands on each flower, one bee will be left out. If two bees land on each flower, one flower will be left out. The number of flowers and bees respectively are:

Let F be the number of flowers and B be the number of bees. Statement 1: "If one bee lands on each flower, one bee will be left out." This means the number of bees is one more than the number of flowers. So, B = F + 1. Statement 2: "If two bees land on each flower, one flower will be left out." This means all bees occupy (F - 1) flowers, with two bees on each. So, B = 2 * (F - 1). Now we have two equations: 1) B = F + 1 2) B = 2F - 2 Substitute (1) into (2): F + 1 = 2F - 2 1 + 2 = 2F - F 3 = F Now find B using F = 3 in equation (1): B = 3 + 1 B = 4 So, there are 3 flowers and 4 bees. Let's check the options: A) 2 flowers and 4 bees: If 1 bee per flower, 2 flowers use 2 bees, 2 bees left out (not 1). Incorrect. B) 3 flowers and 2 bees: If 1 bee per flower, 3 flowers use 3 bees, -1 bee left out (not 1). Incorrect. C) 3 flowers and 4 bees: - If 1 bee per flower: 3 flowers use 3 bees, 1 bee (4-3) is left out. (Matches statement 1) - If 2 bees per flower: 4 bees occupy 2 flowers (4/2), leaving 1 flower (3-2) left out. (Matches statement 2) Both conditions are met. Correct. D) 4 flowers and 3 bees: If 1 bee per flower, 4 flowers use 4 bees, -1 bee left out (not 1). Incorrect. The final answer is C) 3 and 4.