Question

6 liters of a 10% vinegar solution is mixed with x liters of a 35% vinegar solution, the result is a 30% vinegar solution. How many liters of the 35% vinegar solution

were mixed?
The mixture required _
liter(s) of the 35% solution

Answer 1

9514 1404 393

Answer:

24 liters

Explanation:

Let x represent the number of liters of 35% solution required. Then the total quantity of vinegar in the mix is ...

0.10×6 + 0.35x = 0.30(6+x)

0.05x = 1.2 . . . . . . . . . . . . . . subtract 0.30x+0.60 from both sides

x = 24 . . . . . . . . . . . . . . . divide by 0.05

The mixture required 24 liters of the 35% solution.