Two recycling bins have been placed in a school for the recycling of glass and plastic bottles. Identical glass bottles have been placed in one bin and identical plastic bottles have been placed in the other bin, both empty. At the end of the first day when these empty bins were placed, the number of bottles in the bin containing glass bottles equals $\frac{2}{3}$ of the number of bottles in the bin containing plastic bottles. Furthermore, the ratio of the total mass of glass bottles collected on the first day to the total mass of plastic bottles has been calculated as $\frac{8}{5}$. Accordingly, the mass of one plastic bottle is how many times the mass of one glass bottle? A) $\frac{5}{12}$ B) $\frac{5}{2}$ C) $\frac{9}{4}$ D) $\frac{7}{3}$ E) $\frac{15}{16}$
Two recycling bins have been placed in a school for the recycling of glass and plastic bottles. Identical glass bottles have been placed in one bin and identical plastic bottles have been placed in the other bin, both empty. At the end of the first day when these empty bins were placed, the number of bottles in the bin containing glass bottles equals $\frac{2}{3}$ of the number of bottles in the bin containing plastic bottles. Furthermore, the ratio of the total mass of glass bottles collected on the first day to the total mass of plastic bottles has been calculated as $\frac{8}{5}$.
Accordingly, the mass of one plastic bottle is how many times the mass of one glass bottle?
A) $\frac{5}{12}$
B) $\frac{5}{2}$
C) $\frac{9}{4}$
D) $\frac{7}{3}$
E) $\frac{15}{16}$