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?

Respuesta :

10 liters of water she must have

The number of liters of water that should be added is 10 liters.

Given that,

  • There are 5 liters of the soap & water mixture i.e. 36% soap.
  • And, there is 12% soap.

Based on the above information, we assume the number of liters of water be x

Now the calculations are as follows:

[tex]\frac{5\times 36}{5+s x} = 12\\\\\frac{180}{5 +x} = 12\\\\[/tex]

180 = 60 + 12x

120 = 12x

x = 12

Therefore we can conclude that the number of liters of water that should be added is 10 liters.

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