How much 90 percent vinegar do you have to add to a gallon of 5 percent vinegar to get 20 percent vinegar?

Question

How much 90 percent vinegar do you have to add to a gallon of 5 percent vinegar to get 20 percent vinegar? __ gallons.
Hint: You want the final percentage of pure vinegar to be 20%. You have 1 + x gallons of fluid where x is the number of gallons you add. Think about how much pure vinegar is in those 1 + x gallons.

SnapAndSolve AI · Accepted Answer

Let x be the amount of 90% vinegar to add.

The equation for the pure vinegar content is:

0.05(1) + 0.9(x) = 0.2(1 + x)

0.05 + 0.9x = 0.2 + 0.2x

0.9x - 0.2x = 0.2 - 0.05

0.7x = 0.15

x = 0.15 / 0.7

x ≈ 0.2143

You need to add approximately 0.2143 gallons of 90% vinegar.

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How much 90 percent vinegar do you have to add to a gallon of 5 percent vinegar to get 20 percent vinegar?

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