For each pizza at a restaurant, a circular pizza dough is first rolled out. Then, an orange-colored ingredient section is created to form a concentric circle with this dough. The top view of the pizza ordered by Ali and Ayşe at this restaurant is shown in the figure. Ayşe divides the pizza shown in the figure into 8 equal slices; she takes 3 of these slices and gives 5 to Ali. While Ali eats all of his slices, Ayşe eats only the orange-colored portions of her slices as shown in the figure. In the end, the area of the portions Ali ate is calculated to be 2.4 times the area of the portions Ayşe ate. What is the ratio of the radius of this pizza to the radius of the orange section? A) $\dfrac{3}{2}$ B) $\dfrac{4}{3}$ C) $\dfrac{5}{4}$ D) $\dfrac{6}{5}$ E) $\dfrac{7}{6}$
For each pizza at a restaurant, a circular pizza dough is first rolled out. Then, an orange-colored ingredient section is created to form a concentric circle with this dough. The top view of the pizza ordered by Ali and Ayşe at this restaurant is shown in the figure.
Ayşe divides the pizza shown in the figure into 8 equal slices; she takes 3 of these slices and gives 5 to Ali. While Ali eats all of his slices, Ayşe eats only the orange-colored portions of her slices as shown in the figure.
In the end, the area of the portions Ali ate is calculated to be 2.4 times the area of the portions Ayşe ate.
What is the ratio of the radius of this pizza to the radius of the orange section?
A) $\dfrac{3}{2}$
B) $\dfrac{4}{3}$
C) $\dfrac{5}{4}$
D) $\dfrac{6}{5}$
E) $\dfrac{7}{6}$