Buying Money
Number Theory
Level
2
If I can buy exotic pennies for $5, exotic dimes for $13 and exotic quarters for $3, what is the greatest amount of money I am unable to spend?
I know this specific problem is easy, but can you generalize it???!!!
The answer is 7.
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1 solution
If we forget about the exotic dimes, the maximum you would be unable to spend would be 5*5-5-3=7 (Chicken McNugget theorem). Being allowed to spend $13 doesn't help you spend $7 and it can't render any smaller amount impossible, so the maximum is still $7.