Prepare 30g of cold cream. Calculation: How much water do I need?
Understand the Problem
The question is asking for a calculation to determine the amount of water needed to prepare 30g of cold cream using the given quantities of ingredients. It requires understanding proportions in a formula.
Answer
Not feasible (total ingredients exceed desired weight).
Answer for screen readers
Water needed: Not feasible (total ingredients exceed desired weight)
Steps to Solve
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Calculate the Total Initial Weight of Ingredients First, sum the weights of all the ingredients provided (excluding water): $$ Total\ Weight = 50 \text{g} + 15 \text{g} + 1 \text{g} + 16 \text{g} + 1.20 \text{g} $$
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Perform the Calculation Now calculate: $$ Total\ Weight = 50 + 15 + 1 + 16 + 1.20 = 83.20 \text{g} $$
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Determine the Required Total Weight for Cold Cream To prepare 30g of cold cream, we need to calculate how much water is required. Knowing that the total mixture should equal 30g: $$ Required\ Weight = 30 \text{g} $$
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Calculate the Amount of Water Needed Subtract the total weight of the ingredients from the required total weight: $$ Water\ Needed = Required\ Weight - Total\ Weight $$ $$ Water\ Needed = 30 \text{g} - 83.20 \text{g} $$
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Perform the Final Calculation Now calculate the amount of water: $$ Water\ Needed = 30 - 83.20 = -53.20 \text{g} $$
Since the calculated value indicates we don't need water because the total weight of solid ingredients exceeds the desired final weight, we conclude that it's not feasible to create 30g of cold cream with the given proportions.
Water needed: Not feasible (total ingredients exceed desired weight)
More Information
The total weight of primary ingredients exceeds the target weight of 30g, thus indicating that creating the specified amount of cold cream is not possible with these proportions.
Tips
- Misunderstanding the total required weight (assuming the weight of all ingredients should be 30g).
- Forgetting to sum all the ingredient weights properly which leads to incorrect calculations.
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