Question 15
There are five card types A,B,C,D,E, corresponding to the values 1,2,4,8,16. All cards of one type are identical. Each beaver takes the smallest possible number of cards whose values sum to their age.
- Fred,17, takes two cards, including C.
- Grace,18, takes two cards, including B. Her other card also occurs among Harry’s cards and is not E.
- Harry,15, is the only one with A; A is the largest value among Harry’s cards. He also takes C.
Let a,b,c,d,e be the values of A,B,C,D,E. What remainder does a−b+c−d+e+100 leave when divided by 7?
- Fred,17, takes two cards, including C.
- Grace,18, takes two cards, including B. Her other card also occurs among Harry’s cards and is not E.
- Harry,15, is the only one with A; A is the largest value among Harry’s cards. He also takes C.
Let a,b,c,d,e be the values of A,B,C,D,E. What remainder does a−b+c−d+e+100 leave when divided by 7?