Answer :
18 liters of the 35% solution and 12 liters of the 60% solution
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Let x be the volume of the 35% solution and (30 - x) be the volume of the 60% solution.
Set up the equation for the amount of alcohol concentration:
- 0.35x + 0.60(30 - x) = 0.45(30)
Calculate the amount of 35% solution by solving the equation:
- 0.35x + 0.60(30 - x) = 0.45(30)
- 0.35x + 18 - 0.6x = 13.5
- 0.6x - 0.35x = 18 - 13.5
- 0.25x = 4.5
- x = 4.5/0.25
- x = 18
Find the amount of 60% solution:
- 30 - 18 = 12 liters