# The Lobstah Coin

Pro Problems > Math > Number and Quantity > Number Theory > Diophantine Equations## The Lobstah Coin

The Maine State Legislature decided to introduce a new coin into our currency, called the lobstah coin. Bertha has the same number of nickels, dimes, and lobstahs in her pocket, totaling $3.19. How many cents is a lobstah worth, if its value is not a fractional number of cents, and Bertha has at least 2 of each coin?

## Solution

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