Answer:
6 liters.
Explanation:
So we have a glass, a jar, and a pitcher and together, they hold 54 liters.
We are told that the jar has the same volume as 3 glasses and the pitcher has the same volume as 5 glasses. In other words, let g denote glasses, j denote jars, and p denote pitchers:
![g+j+p=54](https://img.qammunity.org/2021/formulas/mathematics/high-school/ror8slklhc5km9y9chk0ao9s0ummf7lcn2.png)
Since jar is the same as 3 glasses, this means that j=3g. And since the pitcher is the same as 5 glasses, this means that p=5g. Substitute:
![g+(3g)+(5g)=54](https://img.qammunity.org/2021/formulas/mathematics/high-school/kxdipva3b2n28tvclb5p29fkkb4el0cmkz.png)
Combine like terms:
![9g=54](https://img.qammunity.org/2021/formulas/mathematics/high-school/34vhnna9m82nk79gjw0ya7h8elzxfgsnif.png)
Divide both sides by 9. The left cancels:
![(9g)/9=54/9\\g=6](https://img.qammunity.org/2021/formulas/mathematics/high-school/918oxoxuqcixj048llw3zpff6v53q8ltgm.png)
Therefore, the volume of the glass is 6 liters.