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  3. A mixture of 12 ounces of vinegar and oil is 40 percent vinegar, where all of th

A mixture of 12 ounces of vinegar and oil is 40 percent vinegar, where all of th

游客2025-02-23  40
问题 A mixture of 12 ounces of vinegar and oil is 40 percent vinegar, where all of 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 percent vinegar?
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答案 7.2
解析 Let x represent the number of ounces of oil to be added. Then the total number of ounces of the new mixture will be 12 + x, and the total number of ounces of vinegar in the new mixture will be(0.40)(12). Since the new mixture must be 25 percent vinegar,

Therefore,
(0.40)(12)=(12+ x)(0.25)
4.8 = 3 + 0.25x
1.8 = 0.25x
7.2 = x
Thus, 7.2 ounces of oil must be added to produce a new mixture that is 25 percent vinegar.
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