SAT Math · Percentages · medium
A chemist has 20 liters of a solution that is 30% salt. How many liters of pure water must be added to dilute the solution to 20% salt?
A chemist has 20 liters of a solution that is 30% salt. How many liters of pure water must be added to dilute the solution to 20% salt?
Answer and explanation
Answer: A: 10
Adding pure water changes the volume but not the amount of salt. The original solution has liters of salt. After adding liters of water, the volume is and the salt is 20% of it: . So and , choice A. Check: . Choice B (6) is the amount of salt, not water. Choice C (15) would give 35 liters at about 17%. Choice D (20) would double the volume and dilute the solution to 15%. Track the salt, which stays constant.
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