20 liters of a powder are required to prepare 3/4, how many liters are necessary to prepare 8/5 of the same drink?

To determine how many liters of the powder are necessary to prepare 8/5 of the same drink, you can set up a proportion based on the given information. Let "x" represent the number of liters of powder needed to prepare 8/5 of the drink. You know that 20 liters are required to prepare 3/4 of the drink, so you can set up the proportion as follows: (20 liters) / (3/4) = x / (8/5) Now, simplify the proportions by inverting and multiplying: (20 liters) * (4/3) = x * (5/8) Now, perform the multiplications: (20 liters) * (4/3) = 80/3 liters Now, solve for "x": x = (80/3 liters) * (5/8) x = (400/24) liters Simplify the fraction: x = (100/6) liters Now, simplify the fraction further: x = 50/3 liters So, 50/3 liters of the powder are necessary to prepare 8/5 of the same drink.