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