Question

How many grams of a 10% cream must be mixed with 2% cream to prepare 60 grams of a 5% cream?

Answer 1

22.5 grams of 10% cream is mixed with 37.5 grams of 2 % cream to prepare 60 grams of 5% cream.

Explanation:

Let x grams of 10% cream is mixed with y grams of 2 % cream to prepare 60 grams of 5% cream.

So, x + y = 60 ............ (1) and

`x* (10)/(100) + y * (2)/(100) = 60 * (5)/(100)`

⇒ 10x + 2y = 300

⇒ 5x + y = 150 ............ (2)

Now, solving equations (1) and (2) we get,

4x = 150 - 60 = 90

⇒ x = 22.5 grams

So, y = 60 - x = 37.5 grams. (Answer)