An eccentric casino owner decides that his casino should only use chips in $5 and $9 denominations. Which of the following amount cannot be paid out using these chips? Options: A) $31 B) $37 C) $33 D) $24 E) $15
Yes, the number of 5 or/and 9 dollar chips can be zero, however both being zero mean that the casino is paying out $0, which is not realistic.   Each option but A can be represented as the sum of a multiple of 5 and a multiple of 9:   A. $33 = 5*3 + 9*2   B. $37 = 5*2 + 9*3   C. $24 = 5*3 + 9*1   E. $15 = 5*3   $31nswer: $31.
<result>A</result>
An eccentric casino owner decides that his casino should only use chips in $5 and $9 denominations. Which of the following amount cannot be paid out using these chips?