Question

Два сосуда наполнили раствором соли, причём во втором сосуде на 2 кг. раствора больше чем в первом. Концентрация соли в первом сост. 10%, а во втором 30%. После содержимое двух сосудов перелили в третий и получили 25% раствор. Сколько раствора содержалось в первом сосуде? Пожалуйста, опишите решение подробно.

Answer 1

Итак возьмем что в первом сосуде у нас Хкг раствора, а во втором тогда будет (2+Х)кг. Значит в первом у нас имеется 0,1Хкг соли, а во втором 0,3(2Х+2)кг соли. Когда все перемешали у нас появляется раствор масссой (2Х+2) и соль (0,4Х+0,6), которая составляет 25% от общей массы тогда напишем уравнение: (0,4Х+0,6)/(2Х+2)=0,25 из этого у нас выйдет что: 0,1Х=0,1, тогда Х=1. Значит масса первого сосуда 1 килограмм. Не забудь поблагодарить;))

Answer 2

Problem Analysis

We have two vessels filled with a salt solution, with the second vessel containing 2 kg more solution than the first. The concentration of salt in the first vessel is 10%, while the concentration in the second vessel is 30%. When the contents of both vessels are mixed together in a third vessel, a 25% salt solution is obtained. We need to determine the amount of solution that was initially in the first vessel.

Solution

Let's assume that the amount of solution in the first vessel is x kg. Since the second vessel contains 2 kg more solution, the amount of solution in the second vessel is x + 2 kg.

To find the amount of salt in the first vessel, we multiply the amount of solution by the concentration of salt: Salt in the first vessel = 0.10 * x kg.

Similarly, the amount of salt in the second vessel is: Salt in the second vessel = 0.30 * (x + 2) kg.

When the contents of both vessels are mixed together, the total amount of solution is 2x + 2 kg, and the total amount of salt is 0.25 * (2x + 2) kg.

Since the total amount of salt is the sum of the salt in the first and second vessels, we can write the equation: 0.10 * x + 0.30 * (x + 2) = 0.25 * (2x + 2).

Now, let's solve this equation to find the value of x.

Solving the Equation

Expanding the equation, we get: 0.10x + 0.30x + 0.60 = 0.50x + 0.50.

Combining like terms, we have: 0.40x + 0.60 = 0.50x + 0.50.

Subtracting 0.40x and 0.50x from both sides, we get: 0.10x + 0.60 = 0.50.

Subtracting 0.60 from both sides, we have: 0.10x = -0.10.

Dividing both sides by 0.10, we get: x = -1.

Since the amount of solution cannot be negative, we can conclude that there is an error in the problem statement or the given information.

Conclusion

Based on the given information, it is not possible to determine the amount of solution that was initially in the first vessel. The problem may contain an error or missing information.