Prove that if a = b (mod n) and b = c (mod n), then a e c (mod n). remember to use the proof guidelines discussed in class. i recommend that you write a first draft on scratch paper before writing your final version here.

6. sarah saved $12.75 every week for a number of weeks, w. she received an additional $25 during the last week in which she saved money. write and solve an equation to find the number of weeks, w, for which sarah had saved money if she has $114.25 now.