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How many gallons of 3% basic solution must be mixed with 60 gallons of 10% basic solution to obtain a basic solution that is 8%?

How many gallons of 3% basic solution must be mixed with 60 gallons of 10% basic solution to obtain a basic solution that is 8%? Correct Answer 24 gallons

Let the required amount of 3% basic solution = y gallons

 

Amount of solution (gallons)

Percentage

Amount of solvent (gallons)

Component 1

y

0.03

0.03y

Component 2

60

0.10

60 (0.10)

Mixture

y + 60

0.08

0.08 (y + 60) = 0.03y + 60 (0.10)

 

Solving 0.08 (y + 60) = 0.03y + 60 (0.10), we get

y = 24 gallons

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