2000 AMC 8 Problems/Problem 20

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You have nine coins: a collection of pennies, nickels, dimes, and quarters having a total value of $&#36;1.02$, with at least one coin of each type. How many dimes must you have?

$\text{(A)}\ 1\qquad\text{(B)}\ 2\qquad\text{(C)}\ 3\qquad\text{(D)}\ 4\qquad\text{(E)}\ 5$