Question

2) Now your jugs can hold 11 gallons and 4 gallons. How can you use the twonew jugs to get exactly 1 gallon of water? Show all of your work.

Answer 1

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:

`4\text{ gallons }\ast3=\text{ 12 gallons}`

Step 2:

Use the twelve gallons of water to fill the 11 gallons

`12-11=1\text{ gallon}`

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:

`\begin{gathered} (4\ast3)-11 \\ \\ =12-11 \\ \\ =1\text{ gallon} \end{gathered}`