Answer:
Since the ratio of powdered mix to water is 3:2, we know that for every 3 parts of powdered mix, there are 2 parts of water. Therefore, the total weight of the fruit drink will be 3 + 2 = 5 parts.
To find out how much powdered mix is needed for a certain amount of fruit drink, we can set up a proportion:
3 parts powdered mix : 2 parts water = 120g powdered mix : x (unknown amount of water)
Cross-multiplying, we get:
3x = 240
Dividing both sides by 3, we get:
x = 80
Therefore, 80g of water is needed for the fruit drink. To find the total weight of the fruit drink, we add the weight of the powdered mix to the weight of the water:
Total weight = 120g powdered mix + 80g water = 200g
So, 200g of fruit drink is needed for 120g of powdered mix.