Смешав 55-процентный и 97-процентный растворы кислоты и добавив 10 кг чистой воды, получили 65-процентный раствор кислоты. Если бы вместо 10 кг воды добавили 10 кг 50-процентного раствора той же кислоты, то получили бы 75-процентный раствор кислоты. Сколько килограммов 55-процентного раствора использовали для получения смеси?
To solve this problem, you can set up a system of equations and use algebraic manipulation to find the number of kilograms of the 55% solution. Let x represent the number of kilograms of the 55% solution used. Since adding 10 kg of pure water resulted in a 65% solution, we can set up the following equation: 0.55x + 10 = 0.65(10 + x). Solving for x, we get x = 20 kg. Therefore, 20 kg of the 55% solution was used in the mixture.Please note that using 50% solution instead of pure water will not change the final result. This is because the amount of acid in the final mixture will remain the same regardless of the initial concentration of the added solution. The key is to ensure that the amount of acid added remains constant.
Additionally, when working with acid solutions, it is important to use the correct safety precautions to avoid any potential hazards. Always wear protective equipment and handle the solutions with care.
