Question

A mixtures of 12 ounce of vinegar and oil is 40% vinegar, where all the measurements are by weight. How many ounces of oil must be added to the mixture to produce a new mixture that is only 25% vinegar?

Answer 1

Solve the math in steps.

First, calculate the amount (no. of ounce) of vinegar in the mixture.

Vinegar: 40% of 12 ounce = (40 * 12)/100 = 4.8 ounce

According to the question, in the new mixture, Only oil will be added to the mixture, no vinegar. So, amount of Vinegar remains the same: 4.8 ounce.

Let, x ounce of more oil will be added.

As a result, the new mixture becomes 12+x ounce.

4.8 ounce of vinegar is now 25% of the 12+x ounce of the new mixture. (requirement stated in the question).

Therefore, 4.8 = 25% of (12+x)

4.8 = [ 25 * (12+x) ]/100

x = 7.2

Ans: 7.2 ounce of oil must be added.