SOLUTION: How many liters of water must Sharon add to 5 liters of a soap and water mixture which is 36% soap to create a solution which is 12% soap?

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Question 1080096: How many liters of water must Sharon add to 5 liters of a soap and water mixture which is 36% soap to create a solution which is 12% soap?
Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
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I can solve it without using equations: Sharon must add 10 liters of water.


Then the total volume will be 5 + 10 = 15 and the soap concentration will be


soap%2F15 = %28soap%2F5%29%2A%281%2F3%29 = 0.36%2A%281%2F3%29 = 0.12 = 12%.   (Since soap%2F5 = 0.36, according to the condition)