In a large bowl, cream butter and sugar until light and fluffy, 5-7 minutes. Beat in water and extract. Gradually beat in 2 cups flour and mix well; if needed add remaining flour, 1 tablespoon at a time until dough is pliable but not dry. Place 1/3 cup each in 2 small bowls. Add red food coloring to 1 and green to the other; set aside.
Shape remaining dough into twelve 1-in. balls and twelve 1-1/2-in. balls. Place 1 smaller ball above 1 larger ball on ungreased baking sheets; flatten slightly.
For each snowman, shape 2 teaspoons of colored dough into a hat; place above head. For scarf, shape 1/4 teaspoon of each color into a 3-in. rope; twist ropes together, leaving 1 end untwisted. Place scarf around snowman's neck. Insert jimmies for eyes and nose.
Bake at 350° for 10-12 minutes or until set. Cool on baking sheets.