If 4 liters of a 15% vinegar solution is mixed with x liters of a 30% vinegar solution, the result is a 20% vinegar solution. How many liters of the 30% vinegar solution were mixed?

The mixture required _ liter(s) of the 30% solution

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11-09-2022
Mathematics

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If 4 liters of a 15% vinegar solution is mixed with x liters of a 30% vinegar solution, the result is a 20% vinegar solution. How many liters of the 30% vinegar solution were mixed?

The mixture required _ liter(s) of the 30% solution

Answer :

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xero099 xero099 · Answer 1 · 2022-09-13T09:41:05-04:00

An amount of 2 liters of the 30 % vinegar solution to obtain a 20 % vinegar solution.

How to determine the required addition to obtain a given measure of a vinegar solution

According to the statement, a vinegar solution with a given concentration must be prepared by using two vinegar solutions with different concentrations. We can find the required addition of the 30 % vinegar solution by weighted averages, whose respective formula is:

(20 / 100) · (4 + x) = (30 / 100) · x + (15 / 100) · 4

0.2 · (4 + x) = 0.3 · x + 0.15 · 4

0.8 + 0.2 · x = 0.3 · x + 0.6

0.1 · x = 0.2

x = 2

An amount of 2 liters of the 30 % vinegar solution to obtain a 20 % vinegar solution.

To learn more on weighted averages: https://brainly.com/question/28334973

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If 4 liters of a 15% vinegar solution is mixed with x liters of a 30% vinegar solution, the result is a 20% vinegar solution. How many liters of the 30% vinegar solution were mixed? The mixture required _ liter(s) of the 30% solution

Answer :

How to determine the required addition to obtain a given measure of a vinegar solution

Other Questions

If 4 liters of a 15% vinegar solution is mixed with x liters of a 30% vinegar solution, the result is a 20% vinegar solution. How many liters of the 30% vinegar solution were mixed?

The mixture required _ liter(s) of the 30% solution