**Question:**

Convert Ounces to Gallons

The most important thing to remember about changing ounces to gallons is that there are 128 fluid ounces in every gallon.

Another way to think of it is ‘for every 128 ounces you have 1 gallon’. Let’s use *x* to represent the number of ounces and *y* to represent the number of gallons. (Notice that this formula divides the number of ounces into groups of 128 to determine the number of gallons).

*A farmer measures his cows’ milk production by the ounce but sells it by the gallon. If the farmer collected 19,200 ounces of milk in a week, how many gallons of milk will he be able to sell?*

**Answer:**

#### Step 1:

Remember the formula for finding how many fluid ounces are in a gallon.

#### Step 2:

Substitute known values into the formula. Here the number of ounces is 19,200.

#### Step 3:

Calculate the answer.

The equivalent number of gallons is 150. It is most appropriate to answer word problems with full sentences, so the answer to this problem is best written as ‘The farmer will be able to sell 150 gallons of milk this week’. Remember that ounces can be abbreviated as *oz* and gallons can be abbreviated as *gal* in your answers.

hence; 19,200 ounces converts to 150 gallons.

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