Achef plans to mix 100% vinegar with italian dressing. the italian dressing contains 7% vinegar. the chef wants to make 310 milliliters of a mixture that contains 19% vinegar. how much vinegar and how much italian dreessing should she use ?
vinegar: ? milliliters
italian dressing: ? milliliters

Let be the amount (mL) of the pure vinegar the chef will use, and the amount of dressing. She wants to end up with a 310 mL mixture, so

For each mL used of the dressing, 0.07 mL is vinegar, and the chef wants to end up with a 19% vinegar mixture, so

Now

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6: 4= 3/2

18: 8= 9/4

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