Question

Пожалуйста, помогите даю 50 очков Смешали 70% и 10% растворы уксусной кислоты. В результате было получено 600 г 30% раствора. Сколько было взято исходных растворов?​

Answer 1

Ответ:

200 грамм 70%

400 грамм 10%

Объяснение:

Все просто

X*0.7+(600-X)*0.1=600*0.3

0.7X+60-0.1X=180

0.6X=120

X=200

200 грамм 70%

400 грамм 10%

Answer 2

Calculation of the Initial Solutions

To solve this problem, we need to determine the amounts of the 70% and 10% acetic acid solutions that were mixed together to obtain a 600g 30% solution.

Let's assume that x grams of the 70% acetic acid solution were mixed and y grams of the 10% acetic acid solution were mixed.

The total amount of the resulting solution is 600g, and it is a 30% solution. This means that 30% of the resulting solution is acetic acid.

We can set up the following equation to represent the amount of acetic acid in the resulting solution:

0.7x + 0.1y = 0.3 * 600

Simplifying the equation, we have:

0.7x + 0.1y = 180

Now, we need to find the values of x and y that satisfy this equation.

Solving the Equation

To solve this equation, we can use various methods such as substitution or elimination. In this case, we will use the substitution method.

Let's solve the equation for x in terms of y:

0.7x = 180 - 0.1y

x = (180 - 0.1y) / 0.7

Now, we can substitute this expression for x into the equation:

0.7 * ((180 - 0.1y) / 0.7) + 0.1y = 180

Simplifying the equation further, we have:

180 - 0.1y + 0.1y = 180

The y terms cancel out, leaving us with:

180 = 180

This equation is true for any value of y. Therefore, there are infinitely many solutions for the amounts of the 70% and 10% acetic acid solutions that were mixed together to obtain a 600g 30% solution.

In conclusion, we cannot determine the exact amounts of the initial solutions without additional information.