a recipe calls for 2 1/2 quarts of fish stock and 1 1/2 pounds of shrimp. what is the unit rate of fish stock to shrimp in the gumbo
To find the unit rate of fish stock to shrimp in the gumbo recipe, we need to divide the amount of fish stock by the amount of shrimp.
The recipe calls for 2 1/2 quarts of fish stock, which can be written as 2.5 quarts (since 1/2 is half of 1, so 2 plus 0.5 equals 2.5).
The recipe also requires 1 1/2 pounds of shrimp, which can be written as 1.5 pounds.
Now, we divide the amount of fish stock by the amount of shrimp:
Unit Rate = Amount of fish stock / Amount of shrimp
= 2.5 quarts / 1.5 pounds
Since quarts and pounds are different units of measurement, we need to convert one of them for the division to be meaningful. Let's convert pounds to quarts for simplicity:
Since 1 pound is equivalent to approximately 0.47 quarts, we can convert 1.5 pounds to quarts as follows:
1.5 pounds * 0.47 quarts/pound = 0.705 quarts
Now, we can proceed with the division:
Unit Rate = 2.5 quarts / 0.705 quarts
Dividing 2.5 by 0.705 gives us:
Unit Rate ≈ 3.55
Therefore, the unit rate of fish stock to shrimp in the gumbo recipe is approximately 3.55 quarts of fish stock per pound of shrimp.