Question

Olga needs 100 g of an 18 percent salt solution. how much water and salt should she combine

Answer 1

To prepare a 100 g solution of 18 percent salt, Olga needs to combine approximately 15.25 g of salt and approximately 84.75 g of water.

Step-by-step explanation:

To prepare a 100 g solution of 18 percent salt, Olga needs to combine water and salt. Let's assume she needs to combine x grams of water and y grams of salt.

The total mass of the solution will be x + y grams. Since the solution is 18 percent salt, the mass of the salt will be 0.18 times the total mass of the solution: 0.18(x + y) grams.

Therefore, our equation becomes:

x + y = 100 (to get a 100 g solution)

0.18(x + y) = y (to get 18 percent salt)

From the first equation, we can rewrite it as:

x = 100 - y

Substituting this value of x in the second equation:

0.18(100 - y) = y

Simplifying this equation, we get:

18 - 0.18y = y

18 = 1.18y

y = 18/1.18

y ≈ 15.25 g

So, Olga needs to combine approximately 15.25 g of salt and approximately 84.75 g of water to make a 100 g solution of 18 percent salt.