2009 Gauss 8 Problem 17

A jar contains quarters (worth \$0.25 each), nickels (worth \$0.05 each) and pennies (worth \$0.01 each). The value of the quarters is \$10.00. The value of the nickels is \$10.00. The value of the pennies is \$10.00. If Judith randomly chooses one coin from the jar, what is the probability that it is a quarter?

\textbf{(A)}\ \frac{25}{31}\quad \textbf{(B)}\ \frac{1}{31}\quad \textbf{(C)}\ \frac{1}{3}\quad \textbf{(D)}\ \frac{5}{248}\quad \textbf{(E)}\ \frac{1}{30}

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Gauss contests here.