How many grams of 5% cream can you prepare by mixing 60g of 5% cream with 2% cream?
To solve this problem, we need to find the amount of 2% cream required to mix with the 60g of 5% cream.
Let's assume that x grams of the 2% cream is needed.
In the 5% cream, we know that 5% of the 60g is pure cream and 95% is some other ingredient (water, preservatives, etc.). Therefore, the quantity of pure cream in the 60g of 5% cream is 5% of 60g, which is (5/100) * 60g = 3g.
In the 2% cream, we know that 2% of x grams is pure cream and 98% is some other ingredient. Therefore, the quantity of pure cream in the x grams of 2% cream is 2% of x grams, which is (2/100) * x grams = (1/50) * x grams.
To have a total of 3g of pure cream, we need to sum the amounts from both creams:
3g = 3g (from 5% cream) + (1/50) * x grams (from 2% cream)
Now, we can solve for x:
(1/50) * x grams = 3g - 3g
(1/50) * x grams = 0g
x = 0g
Therefore, no grams of 2% cream are required to mix with the 60g of 5% cream in order to prepare a cream with a concentration of 5%.