Final answer:
By performing a series of simple calculations, we find that there were 4 brown colts running in the field.
Step-by-step explanation:
James saw 24 horses in a field. Two thirds of the horses were brown. To calculate the number of brown horses, we multiply 24 by 2/3:
24 horses × 2/3 = 16 brown horses.
One half of the brown horses were colts. So we need to calculate half of the 16 brown horses:
16 brown horses × 1/2 = 8 brown colts.
The question also states that half of the brown colts were running. Therefore, we need to find half of the 8 brown colts:
8 brown colts × 1/2 = 4 brown colts were running.
So, there were 4 brown colts running in the field.