How many liters of a 15% sugar solution must be mixed with 5 liters of a 20% sugar solution to make a 16% sugar solution?
Answers
Given : 15% sugar solution mixed with 5 liters of a 20% sugar solution to make a 16% sugar solution
To Find : How many liters of 15% sugar solution mixed
Solution:
Let say X liters of 15% sugar solution mixed
Sugar = (15/100)X = 0.15X liters
Water = X - 0.15X = 0.85X liters
5 liters of a 20% sugar solution
Sugar = (20/100) 5 = 1 Liter
Water = 5 - 1 = 4 Liter
Total Sugar = 0.15X + 1 liter
Total Solution = X + 5 liter
16% sugar solution
Sugar = (16/100) (X + 5) = 0.16X + 0.8 liter
0.16X + 0.8 = 0.15X + 1
=> 0.01X = 0.2
=> X = 20
20 liters of 15% sugar solution must be mixed
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