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A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 13% vinegar.
The chef wants to make 150 milliliters of a mixture that contains 42% vinegar.
How much vinegar and how much Italian dressing should she use?
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Let x be the volume (in milliliters) of the 100% vinegar to mix with Italian dressing.
Then the volume of the Italian dressing should be (150-x) milliliters.
The total volume will be x + (150-x) milliliters;
the volume of the vinegar will be [0.13*(150-x) + x].
We want the final mixture be 42% vinegar. It means
0.13*(150-x) + x = 0.42*150.
To find x, simplify step by step
0.13*150 - 0.13x + x = 0.42*150
x - 0.13x = 0.42*150 - 0.13*150
x = = 50.
ANSWER. 50 milligrams of the 100% vinegar should be added.
Solved.
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