Question

Water tank a has a capacity of 550 gallons and is 66 percent full. water tank b is 53 percent full. the ratio of the capacity of tank a to tank b is 11:15

A: how much water is in tank A 
B:what is the capacity of tank B
C: how much water  is in tank B

Answer 1

`V_A-capacity\ water\ tank\ A \\V_B-capacity\ water\ tank\ B\\\\ A.\\\\66\%\cdot550=0.66\cdot550=363\ [gallons]\\ \\B.\\\\ (V_A)/(V_B) = (11)/(15)\ \ \ \wdge\ \ \ V_A=550\ gallons \ \ \Rightarrow\ \ \ 11\cdot V_B=15\cdot 550\ /:11\\ \\ V_B=15\cdot50=750\ [gallons]\\ \\C.\\ \\ 53\% \cdot 750=397.5\ [gallons]`

Answer 2

`A:\\66\%=(66)/(100)=0.66\\\\0.66\cdot550\ gallons=363\ gallons\leftarrow answer\\\\\\B:\\(550)/(B)=(11)/(15)\to11B=550\cdot15\ \ \ /:11\to B=750\ (gallons)\leftarrow answer\\\\\\C:\\53\%=(53)/(100)=0.53\\\\0.53\cdot750\ gallons=397.5\ gallons\leftarrow answer`