You need to prepare 180g of a 10% cream using 30% stock cream and a cream base. How much is needed for each
You want to dilute the 30% cream by a factor of 3 so if you take 60 g of the 30% stuff and add cream base (120g) you should have it.
c1v1 = c2v2
180*10 = 30*v2
v2 = 180*10/30 = 60 g of the 30%.
To determine how much of the 30% stock cream and cream base you need to prepare 180g of a 10% cream, we can set up a simple equation based on the principle of mixing proportions.
Let's assume x represents the amount (in grams) of the 30% stock cream required, and y represents the amount (in grams) of the cream base required.
1. Calculate the amount of cream base needed:
Let's suppose the cream base is pure (100%).
Since we want to end up with a 10% cream, the amount of cream base should contribute 90% of the final weight (180g).
Therefore, we can set up the equation:
y = 0.9 * 180
y = 162g
2. Calculate the amount of 30% stock cream needed:
Since the 30% stock cream is already a mixture of cream and some additional ingredients, the weight of the cream in 30% stock cream is 30% of the total weight.
We need to find x such that 0.3x is equal to the amount of cream in the final mixture (10% of 180g).
Let's set up the equation:
0.3x = 0.1 * 180
0.3x = 18
x = 60g
So, to prepare 180g of a 10% cream, you will need 60g of the 30% stock cream and 162g of the cream base.