Question

A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 4% vinegar. The chef wants to make 320 milliliters of a mixture that contains 13% vinegar. How much vinegar and how much Italian dressing should she use?

Answer 1

Let the volume of vinegar added be

And total volume of mixture is given milliiters

The the Volume of the original Italian Dressing is milliiters

Vinegar content in original Italian Dressing is of volume-
let be named

So the final amount of vinegar will be of the volume of mixture-
let be named

So sum of vinegar in Italian dressing and the vinegar must be equal to amount of vinegar in mixture-

So volume of vinegar is milliliters
And so the volume of origina Italian Dressing is milliliters (total mixture minus vol. of vinegar added)