14.【Solution】People with money that leaves a remainder of $0,1,2,3,4$ when divided by 5, buy $0,2,4,1,3$ three-fen picture cards, respectively.

Therefore, the 45 types of money from 8 fen to 5 jiao 2 fen can be divided into 9 groups, with each consecutive 5 in one group,

each group buys three-fen picture cards: $0+2+4+1+3=10$ cards.
9 groups buy a total of $10 \times 9=90$ cards, minus the 2 three-fen picture cards bought with 5 jiao 1 fen, and the 4 three-fen picture cards bought with 5 jiao 2 fen,
the total number of three-fen picture cards bought by 43 people is $90-2-4=84$ cards.
14, 43 students, each carrying a different amount of money ranging from 8 cents to 5 yuan. Each student spent all their money on picture cards. There are only two types of picture cards, 3 cents each and 5 cents each, and each student tried to buy as many 5-cent cards as possible. How many 3-cent cards did they buy in total?