A dime is worth $\$ 0.10$ and a quarter is worth $\$ 0.25$. Terry has a jar that contains $\$ 1.00$ worth of dimes and $\$ 1.00$ worth of quarters. If he randomly removes one coin from the jar, what is the probability that it is a dime?
(A) $\frac{1}{10}$
(B) $\frac{2}{7}$
(C) $\frac{10}{11}$
(D) $\frac{2}{5}$
(E) $\frac{5}{7}$

Part B: Each correct answer is worth 6.
In $\$ 1.00$ worth of dimes, there are $\frac{\$ 1.00}{\$ 0.10}=10$ dimes.

In $\$ 1.00$ worth of quarters, there are $\frac{\$ 1.00}{\$ 0.25}=4$ quarters.

The jar contains 10 dimes and a total of $10+4=14$ coins.

If Terry randomly removes one coin from the jar, the probability that it is a dime is $\frac{10}{14}=\frac{5}{7}$.