The community of gnomes in the magic forest is upset because their forest is being bulldozed for a shopping mall.  The little people are moving far away, too far to walk.  They are going in boats.  Each boat can hold up to 100 grams and still stay afloat.  The gnome, as it happens, come in five different weights: 60 grams (senior citizens), 40 grams (adults), 20 grams (teenagers), 10 grams (children) and 5 grams (infants).

If you had to transport 5 senior citizens, 4 adults, 2 teenagers, 3 children, and 4 infants what is the fewest number of boats that you need to transport them?