The salt mass is 24% of the solution mass. How many kilograms of solution do you need to take

| August 12, 2021 | education

The salt mass is 24% of the solution mass. How many kilograms of solution do you need to take so that it contains 96 kilograms of salt?

Let us find how many times the mass of the solution is greater than the mass of the salt that is contained in this solution.

Let us denote the mass of the solution through x.

According to the condition of the problem, the mass of salt is 24% of the mass of the solution, therefore, the mass of salt that is contained in a solution with a mass equal to x is (24/100) x.

Consequently, the mass of the solution is greater than the mass of salt, which is contained in this solution in x / ((24/100) x) = 100/24.

Then, if the solution contains 96 kg of salt, then the mass of the entire solution is:

96 * 100/24 = 100 * 96/24 = 100 * 4 = 400 kg.

Answer: you need to take 400 kg of solution.



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