Question

A ranch owner has 18 bales of hay to distribute in 3 cow pastures and 3 horse pastures. He wants each cow pasture to have the number of bales of hay and each horse pasture to have the same number of bales of hay. He wants at least 1 bale of hay in each pasture. How many different ways can the hay be disrupted among the pastures?

Answer 1

First way: 1 bale in each cow pasture and 5 bales in each horse pasture.

Second way: 2 bales in each cow pasture and 4 bales in each horse pasture.

Third way: 3 bales in every pasture.

Fourth way: 4 bales in each cow pasture and 2 bales in each horse pasture.

Fifth way: 5 bales in each cow pasture and 2 bale in each horse pasture.

There are 5 different ways.