PSLE Letters A, W, H formed a patten as shown below.
A W A H A A W A H A A W A H A . . .
If there are 112 'A', what is the greatest possible number of letters in the pattern?
Number of letters in 1 set of A W A H A = 5
Number of letters 'A' in 1 set of A W A H A = 3
Number of sets of 3 'A' if there are 112 'A'
= 112 ÷ 3
= 37 r 1
If the remainder is 1, there is 1 'A' and the largest possible number of letters is the final incomplete set is 2. (A W)
If the remainder is 2, there are 2 'A' and the largest possible number of letters is the final incomplete set is 4. (A W A H)
Greatest possible number of letters
= 37 x 5 + 2
= 185 + 2
= 187
Answer(s): 187