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Problem of the Week
Problem B
Ask the Banker

Vesna is the banker in a board game that uses \(\$1\), \(\$10\), and \(\$100\) bills.

  1. Vesna needs to give a player \(\$2163\). How can you do this using the fewest total number of bills? How can you do this using the greatest total number of bills?

  2. Is it possible to give a player \(\$254\) using exactly \(20\) bills in total? How about using exactly \(30\) bills in total? If so, show how it’s possible. If not, explain why it’s not possible.

Extension: Vesna likes when she can give a player the same number of each type of bill. For which total amounts of money is this possible? Explain.

Themes: Algebra, Number Sense