Mixed 30% acid solution with 10% solution and received 600 g of 15% solution. How many grams of the 30%

Mixed 30% acid solution with 10% solution and received 600 g of 15% solution. How many grams of the 30% solution was taken?

Let’s make an equation in which x is the weight of a 30% solution.

We write down the weight of a 10% solution as u.

In this case, the sum of the solutions will be:

x + y = 600 grams.

10% = 0.1.

30% = 0.3.

15% = 0.15.

The sum of the weight of the acid in the solution will be equal to:

0.3 * x + 0.1 * y = 0.15 * 600.

0.3 * x + 0.1 * y = 90.

Express the value of x from the first equation and substitute it into the second.

x = 600 – y.

0.3 * (600 – y) + 0.1 * y = 90.

180 – 0.3 * y + 0.1 * y = 0.

0.2 * y = 90.

y = 90 / 0.2 = 450 grams (second solution).

x = 600 – 450 = 150 grams (of the first solution).

Answer:

Was taken 150 grams of 30% solution.