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Angel buys a two-gallon bottle of juice for $51.20. What is the unit rate of the cost of the juice per fluid ounce? 1 gallon, equals, 4 quarts

User Ticster
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Final answer:

To calculate the unit rate of juice per fluid ounce, convert two gallons to fluid ounces using the equivalence of 1 gallon = 4 quarts and 1 quart = 32 fluid ounces, then divide the total cost by the number of fluid ounces. The unit rate is $0.20 per fluid ounce.

Step-by-step explanation:

Unit Rate Calculation

To calculate the unit rate of the juice Angel bought per fluid ounce, we first need to determine how many fluid ounces are in two gallons. We will use the following unit equivalences to perform the conversion:

  • 1 gallon = 4 quarts
  • 1 quart = 32 fluid ounces

Since there are 4 quarts in a gallon, we will first multiply the number of gallons by 4 to find out how many quarts there are in two gallons:

2 gallons × 4 = 8 quarts

Next, since there are 32 fluid ounces in a quart, we will multiply the number of quarts by 32 to get the total number of fluid ounces:

8 quarts × 32 fluid ounces/quart = 256 fluid ounces

Now that we know there are 256 fluid ounces in two gallons, we can calculate the unit rate by dividing the total cost by the total number of fluid ounces:

$51.20 ÷ 256 fluid ounces = $0.20 per fluid ounce

Therefore, the unit rate for the juice is $0.20 per fluid ounce.