Annie is playing basketball. After attempting a certain number of free throws, she computes that she has made $\dfrac{3}{5}$ of her free throws. Then, Annie attempts but fails to make $15$ consecutive free throws, after which she computes that she has made only $\dfrac{2}{5}$ of all of the free throws she attempted that day. How many total free throws has Annie attempted, including the $15$ she just attempted?
