1) Suppose 101 girls buy greeting cards. One of the girls, Suzie, buys 1000 fewer cards than the girls’ average.
How many more cards should Suzie buy so that she has 1000 more cards than the new girls’ average?
Assume that the other girls do not make any purchases after their initial purchase.
2) In triangle ABC, points D and E are chosen on side AC such that AD = AB and CE = CB. Rays BD and BE divide angle ABC into three non-overlapping angles. The degree measures of these three angles are in the ratio 3:4:5 (in some order). Compute the greatest possible value of the largest of these degree measures.
