Final answer:
To find the number of bales of hay needed, use a proportion to solve for the unknown variable.
Step-by-step explanation:
To find the number of bales of hay needed to feed six horses for a week, we can set up a proportion using the given information. We know that 4 horses require 64 bales of hay, so we can set up the proportion:
4 horses / 64 bales = 6 horses / x bales
Using cross multiplication, we get:
4x = 6 * 64
4x = 384
x = 384 / 4
x = 96
Therefore, the farmer would need 96 bales of hay to feed six horses for a week.