Ian buys a two-gallon bottle of juice for $28.16. What is the unit rate of the cost of the juice per fluid ounce?, On this question page, you will first be asked to convert units. Enter your answer in the provided input box and press the try button. If your answer is correct, it will be placed on the page and then another question and the answer area will appear below.

Question

1 gallon, equals, 4 quarts
1 gallon=
4 quarts
1 quart, equals, 2 pints
1 quart=
2 pints
1 pint, equals, 2 cups
1 pint=
2 cups
1 cup, equals, 8 fluid ounces
1 cup=
8 fluid ounces
Before you try that problem, answer the question below.
How many fluid ounces of juice did Ian buy?
256256

What is the cost of juice in dollars per fluid ounce?

Answer 1

To find out how many fluid ounces are in two gallons, we can perform the following conversions:

1. Start with the gallons to fluid ounces conversion:
   • 1 gallon = 4 quarts
   • 1 quart = 2 pints
   • 1 pint = 2 cups
   • 1 cup = 8 fluid ounces

Now, let's calculate it step by step:

• First, convert gallons to quarts: \( 2 \text{ gallons} \times 4 \text{ quarts/gallon} = 8 \text{ quarts} \)

• Next, convert quarts to pints: \( 8 \text{ quarts} \times 2 \text{ pints/quart} = 16 \text{ pints} \)

• Convert pints to cups: \( 16 \text{ pints} \times 2 \text{ cups/pint} = 32 \text{ cups} \)

• Finally, convert cups to fluid ounces: \( 32 \text{ cups} \times 8 \text{ fluid ounces/cup} = 256 \text{ fluid ounces} \)

So, Ian bought 256 fluid ounces of juice.

Now, to find the unit rate, we need to calculate the cost per fluid ounce. The total cost of the juice is $28.16.

Now, we find the cost per fluid ounce: \[ \text{Cost per fluid ounce} = \frac{\text{Total Cost}}{\text{Total Fluid Ounces}} = \frac{28.16}{256} \approx 0.110 \text{ (rounded to three decimal places)} \]

Thus, the cost of juice is approximately $0.11 per fluid ounce.