Given:
We have jugs that can hold 11 gallons and 4 gallons.
Let's determine how we can use the two jugs to get exactly 1 gallon of water.
Since we have a jug that can hold 11 gallons and 4 gallons, let's take the following steps to get exactly 1 gallon of water.
Step 1:
Fill the 4 gallons thrice:
[tex]4\text{ gallons }\ast3=\text{ 12 gallons}[/tex]Step 2:
Use the twelve gallons of water to fill the 11 gallons
[tex]12-11=1\text{ gallon}[/tex]The remiander will be 1 gallon.
Therefore, to get exaxtly 1 gallon of water, we are to fill the 4 gallons thrice, then use it to fill the 11 gallon, the remainder gives exactly 1 gallon.
ANSWER:
[tex]\begin{gathered} (4\ast3)-11 \\ \\ =12-11 \\ \\ =1\text{ gallon} \end{gathered}[/tex]