How many grams of 5% cream can you prepare by mixing 60g of 5% cream with 2% cream?
To determine the amount of 5% cream that can be obtained by mixing 60g of 5% cream with 2% cream, we need to consider the percentages and the total volume of the final mixture.
Let's assume that we mix x grams of 5% cream with 60g of 5% cream.
Since we are adding 2% cream, the total resulting mixture will have a concentration of 5% cream.
To find the concentration of the final mixture, we can use the concept of weighted averages.
The formula is:
(concentration of ingredient A * volume of ingredient A) + (concentration of ingredient B * volume of ingredient B) = (concentration of final mixture * total volume)
In this case:
(5% cream * x grams) + (2% cream * 60g) = (5% cream * (x + 60) grams)
0.05x + 0.02 * 60 = 0.05 * (x + 60)
0.05x + 1.2 = 0.05x + 3
0.05x - 0.05x = 3 - 1.2
0 = 1.8
The above equation shows no solution, which means it is not possible to create a mixture with a concentration of 5% cream using 60g of 5% cream and 2% cream.
Therefore, it is not possible to determine the exact amount of 5% cream we can prepare in this scenario.