Answer:
The mass of the water removed is 66.67 kg
Step-by-step explanation:
Given data
The solids blended with sugar make up 10%.
Final product achieved = 15% product.
Final product contains = 15% sugar solids.
The initial product weighs = 200 kg
Solution
Here, we find the needed sugar amount as follows:
The amount of sugar required = 200 ×
Thus, the needed sugar = 20 kg
We recognize that total solids = product solids + sugar solids...............1
Also, the initial product equals the final product.
So,
0.20 × 200kg= 0.30 × total mass of the final product
The mass of the final product = 133.33 kg
However,
the final product contains 15% product solids and 15% sugar solids, which means that the amount of product solids equals the sugar solids.
Thus, the mass of water removed = 200 kg - 133.33 kg.
The mass of the water removed is 66.67 kg.