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Think about this! 70% acid solution is 30% water and the 50% acid solution is 50% water.
You want to add x liters of water to the 2.5 liters of 30% water/acid solution to make (2.5 + x) liters of 50% water/acid solution. Change the percents to their decimal equivalents 30% = 0.3, 50% = 0.5 Now you can set up your equation to solve the problem.
Simplify and solve for x.
Subtract 0.5x from both sides.
Subtract 0.75 from both sides.
Divide both sides by 0.5
The Chemist will need to add 1 liter of water to the 2.5 liters of 70% acid solution to obtain 3.5 liters of 50% acid solution.