Three vessels are filled with 1 liter of a mixture of acid and water with an acid content of 20 40 and 70%.
Three vessels are filled with 1 liter of a mixture of acid and water with an acid content of 20 40 and 70%. what is the largest amount of a mixture of acid and water with an acid content of 50% can be obtained by mixing them?
Percentage is 1/100 of a number. To find out how many liters of acid are contained in each vessel, you need to multiply each solution by the percentage of acid:
1 * 0.2 = 0.2 l in the first vessel;
1 * 0.4 = 0.4 l in the second vessel;
1 * 0.7 = 0.7 l in the third vessel.
Let’s add the volumes of acid from all 3 vessels:
0.2 + 0.4 + 0.7 = 1.3 liters of acid in total.
If 1.3 liters of acid is taken as 50%, then the entire solution, that is, 100%, will be calculated by the formula:
1.3 / 0.5 = 2.6 liters.
Answer: the largest volume of solution with water and acid from all three vessels will be 2.6 liters.