An art teacher finds that colored paper can be bought in three different packages. The first package has 20 sheets of white paper, 15 sheets of blue paper and 1 sheet of red paper. The second package has 3 sheets of blue paper, and 1 sheet of red paper. The third package has 2 sheets of red paper. The teacher needs a total of 200 sheets of white paper, 180 sheets of blue paper and 22 sheets of red paper.

How many of each type of package should he order so that he does not have any paper left over?