A woman in a bright pink jacket and jeans, with two young children, also in jackets, is on the deck of a yacht using a telescope to look out to sea.
A woman has a bright pink jacket.
"In a bright pink jacket" is another way to say "wearing a bright pink jacket" and if a woman is wearing a jacket, she is in possession of the jacket, which mean she "has" the jacket.
Answer: The women wears bright pink jacket and jeans.
In a bright pink jacket implies has a bright pink jacket.