you need to prepare 180g of a 10% cream using 30% stock cream and a cream base.how much needed of each
when using 1% cream and a 6% cream to produce a 4% cream how many parts of each initial ingredient will be needed?
180g of 10%A contains 180*0.1 = 18 g of A. How much of the 30%A must you take to obtain 18g? Won't that be 0.3*?gA = 18g A and ? = 60g.
So you take 60g of the 30% stuff, add 120 g cream base to give 180 g total. What percent is that? Its (18g/180)*100 = 10%
To find out how much of each ingredient is needed, we can set up a simple equation using the concept of percentages. Let's assume the amount of stock cream needed is x grams, and the amount of cream base needed is y grams.
We know the following information:
- The desired weight of the final cream is 180 grams.
- The percentage of stock cream is 30%.
- The percentage of cream base is 0% (since it is not mentioned).
Based on this, we can set up the equation:
x grams (30% stock cream) + y grams (0% cream base) = 180 grams (10% cream)
Before solving the equation, we need to convert the percentages to decimal form. Divide each percentage by 100:
0.30x + 0y = 0.10(180)
Simplifying the equation gives us:
0.30x = 0.10(180)
Now we can solve for x:
0.30x = 18
x = 18 / 0.30
x = 60
So, 60 grams of the 30% stock cream is needed.
To find the amount of cream base, substitute the value of x back into the equation:
60 + y = 180
y = 180 - 60
y = 120
Therefore, 120 grams of cream base is needed.
In summary, you would need 60 grams of the 30% stock cream and 120 grams of the cream base to prepare 180 grams of a 10% cream.