The most common way to measure liquid ingredients is by. If you need 5 kg of fish bones for a fish stock recipe that yields 10 L, how many bones do you need to make 3.5 L?
Understand the Problem
The question is asking about the most common methods to measure liquid ingredients and also requires a calculation to determine the amount of fish bones needed for a specific volume of fish stock. The first part focuses on knowledge of measurement methods, while the second part involves a mathematical calculation related to scaling a recipe.
Answer
$1.75 \text{ kg}$
Answer for screen readers
The amount of fish bones needed for 3.5 L of fish stock is $1.75 \text{ kg}$.
Steps to Solve
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Identify the scaling factor for the volume To find out how much of the recipe you need for 3.5 L when it makes 10 L, use the formula: $$ \text{Scaling Factor} = \frac{\text{Desired Volume}}{\text{Original Volume}} = \frac{3.5 \text{ L}}{10 \text{ L}} = 0.35 $$
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Calculate the amount of fish bones needed Now, multiply the scaling factor by the amount of fish bones needed for the full recipe: $$ \text{Fish Bones Needed} = \text{Fish Bones for Full Recipe} \times \text{Scaling Factor} $$ Substituting the known values: $$ \text{Fish Bones Needed} = 5 \text{ kg} \times 0.35 = 1.75 \text{ kg} $$
The amount of fish bones needed for 3.5 L of fish stock is $1.75 \text{ kg}$.
More Information
Typically, liquid ingredients are most commonly measured by volume (like cups, liters, etc.), while solid ingredients can also be measured by weight. In this problem, we used a scaling method to find the right amount of ingredients based on the desired yield of the final product.
Tips
- Not calculating the scaling factor correctly. Make sure to divide the desired volume by the original volume.
- Forgetting to multiply the scaling factor by the original amount of fish bones. Always remember to perform the final multiplication step.
